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Finding the Fourth Proportional to 6,746.56, 9,311.22 and 3,952.12

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Solution

The fourth proportional to 6,746.56, 9,311.22 and 3,952.12 is: 5,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.56 : 9,311.22 = 3,952.12 : x
  2. Step 2: Convert to fraction form
    6,746.56/9,311.22 = 3,952.12/x
  3. Step 3: Cross multiply
    6,746.56x = 9,311.22 × 3,952.12
  4. Step 4: Simplify right side
    6,746.56x = 36,799,058.79
  5. Step 5: Solve for x
    x = 36,799,058.79/6,746.56
  6. Step 6: Final answer
    x = 5,454.49

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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.