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Finding the Fourth Proportional to 6,372.16, 9,558.24 and 3,292

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Solution

The fourth proportional to 6,372.16, 9,558.24 and 3,292 is: 4,938

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,372.16 : 9,558.24 = 3,292 : x
  2. Step 2: Convert to fraction form
    6,372.16/9,558.24 = 3,292/x
  3. Step 3: Cross multiply
    6,372.16x = 9,558.24 × 3,292
  4. Step 4: Simplify right side
    6,372.16x = 31,465,726.08
  5. Step 5: Solve for x
    x = 31,465,726.08/6,372.16
  6. Step 6: Final answer
    x = 4,938

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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.