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Finding the Fourth Proportional to 7,574.75, 10,453.49 and 4,217.43

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Solution

The fourth proportional to 7,574.75, 10,453.49 and 4,217.43 is: 5,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.75 : 10,453.49 = 4,217.43 : x
  2. Step 2: Convert to fraction form
    7,574.75/10,453.49 = 4,217.43/x
  3. Step 3: Cross multiply
    7,574.75x = 10,453.49 × 4,217.43
  4. Step 4: Simplify right side
    7,574.75x = 44,086,862.33
  5. Step 5: Solve for x
    x = 44,086,862.33/7,574.75
  6. Step 6: Final answer
    x = 5,820.24

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Half scale
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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.