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Finding the Fourth Proportional to 9,637.52, 14,428.74 and 9,025.16

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Solution

The fourth proportional to 9,637.52, 14,428.74 and 9,025.16 is: 13,511.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.52 : 14,428.74 = 9,025.16 : x
  2. Step 2: Convert to fraction form
    9,637.52/14,428.74 = 9,025.16/x
  3. Step 3: Cross multiply
    9,637.52x = 14,428.74 × 9,025.16
  4. Step 4: Simplify right side
    9,637.52x = 130,221,687.10
  5. Step 5: Solve for x
    x = 130,221,687.10/9,637.52
  6. Step 6: Final answer
    x = 13,511.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.