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Finding the Fourth Proportional to 9,724.16, 13,411.68 and 7,342.13

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Solution

The fourth proportional to 9,724.16, 13,411.68 and 7,342.13 is: 10,126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.16 : 13,411.68 = 7,342.13 : x
  2. Step 2: Convert to fraction form
    9,724.16/13,411.68 = 7,342.13/x
  3. Step 3: Cross multiply
    9,724.16x = 13,411.68 × 7,342.13
  4. Step 4: Simplify right side
    9,724.16x = 98,470,298.08
  5. Step 5: Solve for x
    x = 98,470,298.08/9,724.16
  6. Step 6: Final answer
    x = 10,126.36

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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.