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Finding the Fourth Proportional to 7,097.13, 9,792.63 and 3,952.71

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Solution

The fourth proportional to 7,097.13, 9,792.63 and 3,952.71 is: 5,453.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.13 : 9,792.63 = 3,952.71 : x
  2. Step 2: Convert to fraction form
    7,097.13/9,792.63 = 3,952.71/x
  3. Step 3: Cross multiply
    7,097.13x = 9,792.63 × 3,952.71
  4. Step 4: Simplify right side
    7,097.13x = 38,707,426.53
  5. Step 5: Solve for x
    x = 38,707,426.53/7,097.13
  6. Step 6: Final answer
    x = 5,453.95

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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.