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Finding the Fourth Proportional to 6,559.30, 9,839.02 and 5,251.37

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Solution

The fourth proportional to 6,559.30, 9,839.02 and 5,251.37 is: 7,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.30 : 9,839.02 = 5,251.37 : x
  2. Step 2: Convert to fraction form
    6,559.30/9,839.02 = 5,251.37/x
  3. Step 3: Cross multiply
    6,559.30x = 9,839.02 × 5,251.37
  4. Step 4: Simplify right side
    6,559.30x = 51,668,285.26
  5. Step 5: Solve for x
    x = 51,668,285.26/6,559.30
  6. Step 6: Final answer
    x = 7,877.10

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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.