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Finding the Fourth Proportional to 15,714.73, 21,680.14 and 8,996.74

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Solution

The fourth proportional to 15,714.73, 21,680.14 and 8,996.74 is: 12,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.73 : 21,680.14 = 8,996.74 : x
  2. Step 2: Convert to fraction form
    15,714.73/21,680.14 = 8,996.74/x
  3. Step 3: Cross multiply
    15,714.73x = 21,680.14 × 8,996.74
  4. Step 4: Simplify right side
    15,714.73x = 195,050,474.34
  5. Step 5: Solve for x
    x = 195,050,474.34/15,714.73
  6. Step 6: Final answer
    x = 12,411.95

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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.