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Finding the Fourth Proportional to 7,570.25, 10,431.34 and 7,468.19

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Solution

The fourth proportional to 7,570.25, 10,431.34 and 7,468.19 is: 10,290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.25 : 10,431.34 = 7,468.19 : x
  2. Step 2: Convert to fraction form
    7,570.25/10,431.34 = 7,468.19/x
  3. Step 3: Cross multiply
    7,570.25x = 10,431.34 × 7,468.19
  4. Step 4: Simplify right side
    7,570.25x = 77,903,229.07
  5. Step 5: Solve for x
    x = 77,903,229.07/7,570.25
  6. Step 6: Final answer
    x = 10,290.71

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Half scale
Find fourth proportional to 15,140.50, 20,862.68 and 14,936.38
Double scale
Find fourth proportional to 7,571.25, 10,432.72 and 7,469.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.