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Finding the Fourth Proportional to 6,502.20, 9,754.20 and 2,552.70

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Solution

The fourth proportional to 6,502.20, 9,754.20 and 2,552.70 is: 3,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.20 : 9,754.20 = 2,552.70 : x
  2. Step 2: Convert to fraction form
    6,502.20/9,754.20 = 2,552.70/x
  3. Step 3: Cross multiply
    6,502.20x = 9,754.20 × 2,552.70
  4. Step 4: Simplify right side
    6,502.20x = 24,899,546.34
  5. Step 5: Solve for x
    x = 24,899,546.34/6,502.20
  6. Step 6: Final answer
    x = 3,829.40

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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.