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Finding the Fourth Proportional to 9,037.28, 12,472 and 5,058.64

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Solution

The fourth proportional to 9,037.28, 12,472 and 5,058.64 is: 6,981.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.28 : 12,472 = 5,058.64 : x
  2. Step 2: Convert to fraction form
    9,037.28/12,472 = 5,058.64/x
  3. Step 3: Cross multiply
    9,037.28x = 12,472 × 5,058.64
  4. Step 4: Simplify right side
    9,037.28x = 63,091,358.08
  5. Step 5: Solve for x
    x = 63,091,358.08/9,037.28
  6. Step 6: Final answer
    x = 6,981.23

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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.