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Finding the Fourth Proportional to 6,713.52, 9,264.68 and 3,729.52

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Solution

The fourth proportional to 6,713.52, 9,264.68 and 3,729.52 is: 5,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.52 : 9,264.68 = 3,729.52 : x
  2. Step 2: Convert to fraction form
    6,713.52/9,264.68 = 3,729.52/x
  3. Step 3: Cross multiply
    6,713.52x = 9,264.68 × 3,729.52
  4. Step 4: Simplify right side
    6,713.52x = 34,552,809.35
  5. Step 5: Solve for x
    x = 34,552,809.35/6,713.52
  6. Step 6: Final answer
    x = 5,146.75

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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.