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Finding the Fourth Proportional to 6,560.57, 9,053.24 and 3,727.55

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Solution

The fourth proportional to 6,560.57, 9,053.24 and 3,727.55 is: 5,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.57 : 9,053.24 = 3,727.55 : x
  2. Step 2: Convert to fraction form
    6,560.57/9,053.24 = 3,727.55/x
  3. Step 3: Cross multiply
    6,560.57x = 9,053.24 × 3,727.55
  4. Step 4: Simplify right side
    6,560.57x = 33,746,391.45
  5. Step 5: Solve for x
    x = 33,746,391.45/6,560.57
  6. Step 6: Final answer
    x = 5,143.82

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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.