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Finding the Fourth Proportional to 6,752.88, 9,326.16 and 5,142.30

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Solution

The fourth proportional to 6,752.88, 9,326.16 and 5,142.30 is: 7,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.88 : 9,326.16 = 5,142.30 : x
  2. Step 2: Convert to fraction form
    6,752.88/9,326.16 = 5,142.30/x
  3. Step 3: Cross multiply
    6,752.88x = 9,326.16 × 5,142.30
  4. Step 4: Simplify right side
    6,752.88x = 47,957,912.57
  5. Step 5: Solve for x
    x = 47,957,912.57/6,752.88
  6. Step 6: Final answer
    x = 7,101.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.