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Finding the Fourth Proportional to 6,497.26, 9,747.78 and 2,337.18

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Solution

The fourth proportional to 6,497.26, 9,747.78 and 2,337.18 is: 3,506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.26 : 9,747.78 = 2,337.18 : x
  2. Step 2: Convert to fraction form
    6,497.26/9,747.78 = 2,337.18/x
  3. Step 3: Cross multiply
    6,497.26x = 9,747.78 × 2,337.18
  4. Step 4: Simplify right side
    6,497.26x = 22,782,325.22
  5. Step 5: Solve for x
    x = 22,782,325.22/6,497.26
  6. Step 6: Final answer
    x = 3,506.45

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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.