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Finding the Fourth Proportional to 8,714.57, 13,071.84 and 2,474.64

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Solution

The fourth proportional to 8,714.57, 13,071.84 and 2,474.64 is: 3,711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.57 : 13,071.84 = 2,474.64 : x
  2. Step 2: Convert to fraction form
    8,714.57/13,071.84 = 2,474.64/x
  3. Step 3: Cross multiply
    8,714.57x = 13,071.84 × 2,474.64
  4. Step 4: Simplify right side
    8,714.57x = 32,348,053.08
  5. Step 5: Solve for x
    x = 32,348,053.08/8,714.57
  6. Step 6: Final answer
    x = 3,711.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.