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Finding the Fourth Proportional to 6,713.01, 9,264.06 and 3,729.12

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Solution

The fourth proportional to 6,713.01, 9,264.06 and 3,729.12 is: 5,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.01 : 9,264.06 = 3,729.12 : x
  2. Step 2: Convert to fraction form
    6,713.01/9,264.06 = 3,729.12/x
  3. Step 3: Cross multiply
    6,713.01x = 9,264.06 × 3,729.12
  4. Step 4: Simplify right side
    6,713.01x = 34,546,791.43
  5. Step 5: Solve for x
    x = 34,546,791.43/6,713.01
  6. Step 6: Final answer
    x = 5,146.24

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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.