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Finding the Fourth Proportional to 6,559.59, 9,843.17 and 3,927.90

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Solution

The fourth proportional to 6,559.59, 9,843.17 and 3,927.90 is: 5,894.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.59 : 9,843.17 = 3,927.90 : x
  2. Step 2: Convert to fraction form
    6,559.59/9,843.17 = 3,927.90/x
  3. Step 3: Cross multiply
    6,559.59x = 9,843.17 × 3,927.90
  4. Step 4: Simplify right side
    6,559.59x = 38,662,967.80
  5. Step 5: Solve for x
    x = 38,662,967.80/6,559.59
  6. Step 6: Final answer
    x = 5,894.11

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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.