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Finding the Fourth Proportional to 13,714.53, 20,555.25 and 6,308.83

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Solution

The fourth proportional to 13,714.53, 20,555.25 and 6,308.83 is: 9,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.53 : 20,555.25 = 6,308.83 : x
  2. Step 2: Convert to fraction form
    13,714.53/20,555.25 = 6,308.83/x
  3. Step 3: Cross multiply
    13,714.53x = 20,555.25 × 6,308.83
  4. Step 4: Simplify right side
    13,714.53x = 129,679,577.86
  5. Step 5: Solve for x
    x = 129,679,577.86/13,714.53
  6. Step 6: Final answer
    x = 9,455.63

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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.