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Finding the Fourth Proportional to 27,982.71, 38,616.03 and 15,407.46

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Solution

The fourth proportional to 27,982.71, 38,616.03 and 15,407.46 is: 21,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982.71 : 38,616.03 = 15,407.46 : x
  2. Step 2: Convert to fraction form
    27,982.71/38,616.03 = 15,407.46/x
  3. Step 3: Cross multiply
    27,982.71x = 38,616.03 × 15,407.46
  4. Step 4: Simplify right side
    27,982.71x = 594,974,937.58
  5. Step 5: Solve for x
    x = 594,974,937.58/27,982.71
  6. Step 6: Final answer
    x = 21,262.23

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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.