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Finding the Fourth Proportional to 6,986.53, 9,641.19 and 3,842.70

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Solution

The fourth proportional to 6,986.53, 9,641.19 and 3,842.70 is: 5,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.53 : 9,641.19 = 3,842.70 : x
  2. Step 2: Convert to fraction form
    6,986.53/9,641.19 = 3,842.70/x
  3. Step 3: Cross multiply
    6,986.53x = 9,641.19 × 3,842.70
  4. Step 4: Simplify right side
    6,986.53x = 37,048,200.81
  5. Step 5: Solve for x
    x = 37,048,200.81/6,986.53
  6. Step 6: Final answer
    x = 5,302.80

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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.