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Finding the Fourth Proportional to 27,407.17, 37,822 and 14,831.92

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Solution

The fourth proportional to 27,407.17, 37,822 and 14,831.92 is: 20,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.17 : 37,822 = 14,831.92 : x
  2. Step 2: Convert to fraction form
    27,407.17/37,822 = 14,831.92/x
  3. Step 3: Cross multiply
    27,407.17x = 37,822 × 14,831.92
  4. Step 4: Simplify right side
    27,407.17x = 560,972,689.13
  5. Step 5: Solve for x
    x = 560,972,689.13/27,407.17
  6. Step 6: Final answer
    x = 20,468.10

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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.