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Finding the Fourth Proportional to 9,602.65, 13,252.17 and 5,624.07

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Solution

The fourth proportional to 9,602.65, 13,252.17 and 5,624.07 is: 7,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.65 : 13,252.17 = 5,624.07 : x
  2. Step 2: Convert to fraction form
    9,602.65/13,252.17 = 5,624.07/x
  3. Step 3: Cross multiply
    9,602.65x = 13,252.17 × 5,624.07
  4. Step 4: Simplify right side
    9,602.65x = 74,531,065.47
  5. Step 5: Solve for x
    x = 74,531,065.47/9,602.65
  6. Step 6: Final answer
    x = 7,761.51

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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.