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Finding the Fourth Proportional to 10,065.91, 13,891.11 and 5,589.85

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Solution

The fourth proportional to 10,065.91, 13,891.11 and 5,589.85 is: 7,714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.91 : 13,891.11 = 5,589.85 : x
  2. Step 2: Convert to fraction form
    10,065.91/13,891.11 = 5,589.85/x
  3. Step 3: Cross multiply
    10,065.91x = 13,891.11 × 5,589.85
  4. Step 4: Simplify right side
    10,065.91x = 77,649,221.23
  5. Step 5: Solve for x
    x = 77,649,221.23/10,065.91
  6. Step 6: Final answer
    x = 7,714.08

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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.