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Finding the Fourth Proportional to 6,589.86, 9,889.66 and 5,306.82

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Solution

The fourth proportional to 6,589.86, 9,889.66 and 5,306.82 is: 7,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.86 : 9,889.66 = 5,306.82 : x
  2. Step 2: Convert to fraction form
    6,589.86/9,889.66 = 5,306.82/x
  3. Step 3: Cross multiply
    6,589.86x = 9,889.66 × 5,306.82
  4. Step 4: Simplify right side
    6,589.86x = 52,482,645.48
  5. Step 5: Solve for x
    x = 52,482,645.48/6,589.86
  6. Step 6: Final answer
    x = 7,964.15

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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.