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Finding the Fourth Proportional to 6,356.52, 9,522.54 and 5,247.66

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Solution

The fourth proportional to 6,356.52, 9,522.54 and 5,247.66 is: 7,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.52 : 9,522.54 = 5,247.66 : x
  2. Step 2: Convert to fraction form
    6,356.52/9,522.54 = 5,247.66/x
  3. Step 3: Cross multiply
    6,356.52x = 9,522.54 × 5,247.66
  4. Step 4: Simplify right side
    6,356.52x = 49,971,052.26
  5. Step 5: Solve for x
    x = 49,971,052.26/6,356.52
  6. Step 6: Final answer
    x = 7,861.39

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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.