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Finding the Fourth Proportional to 15,726.76, 21,706 and 9,016.88

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Solution

The fourth proportional to 15,726.76, 21,706 and 9,016.88 is: 12,445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726.76 : 21,706 = 9,016.88 : x
  2. Step 2: Convert to fraction form
    15,726.76/21,706 = 9,016.88/x
  3. Step 3: Cross multiply
    15,726.76x = 21,706 × 9,016.88
  4. Step 4: Simplify right side
    15,726.76x = 195,720,397.28
  5. Step 5: Solve for x
    x = 195,720,397.28/15,726.76
  6. Step 6: Final answer
    x = 12,445.06

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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.