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Finding the Fourth Proportional to 13,379.62, 18,465.24 and 7,714.58

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Solution

The fourth proportional to 13,379.62, 18,465.24 and 7,714.58 is: 10,646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,379.62 : 18,465.24 = 7,714.58 : x
  2. Step 2: Convert to fraction form
    13,379.62/18,465.24 = 7,714.58/x
  3. Step 3: Cross multiply
    13,379.62x = 18,465.24 × 7,714.58
  4. Step 4: Simplify right side
    13,379.62x = 142,451,571.20
  5. Step 5: Solve for x
    x = 142,451,571.20/13,379.62
  6. Step 6: Final answer
    x = 10,646.91

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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.