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Finding the Fourth Proportional to 7,149.54, 10,724.32 and 3,255.06

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Solution

The fourth proportional to 7,149.54, 10,724.32 and 3,255.06 is: 4,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.54 : 10,724.32 = 3,255.06 : x
  2. Step 2: Convert to fraction form
    7,149.54/10,724.32 = 3,255.06/x
  3. Step 3: Cross multiply
    7,149.54x = 10,724.32 × 3,255.06
  4. Step 4: Simplify right side
    7,149.54x = 34,908,305.06
  5. Step 5: Solve for x
    x = 34,908,305.06/7,149.54
  6. Step 6: Final answer
    x = 4,882.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.