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Finding the Fourth Proportional to 6,741.52, 9,302.22 and 3,757.28

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Solution

The fourth proportional to 6,741.52, 9,302.22 and 3,757.28 is: 5,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.52 : 9,302.22 = 3,757.28 : x
  2. Step 2: Convert to fraction form
    6,741.52/9,302.22 = 3,757.28/x
  3. Step 3: Cross multiply
    6,741.52x = 9,302.22 × 3,757.28
  4. Step 4: Simplify right side
    6,741.52x = 34,951,045.16
  5. Step 5: Solve for x
    x = 34,951,045.16/6,741.52
  6. Step 6: Final answer
    x = 5,184.45

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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.