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Finding the Fourth Proportional to 12,714.68, 19,072.14 and 5,695.04

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Solution

The fourth proportional to 12,714.68, 19,072.14 and 5,695.04 is: 8,542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.68 : 19,072.14 = 5,695.04 : x
  2. Step 2: Convert to fraction form
    12,714.68/19,072.14 = 5,695.04/x
  3. Step 3: Cross multiply
    12,714.68x = 19,072.14 × 5,695.04
  4. Step 4: Simplify right side
    12,714.68x = 108,616,600.19
  5. Step 5: Solve for x
    x = 108,616,600.19/12,714.68
  6. Step 6: Final answer
    x = 8,542.61

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1.5x scale

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.