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Finding the Fourth Proportional to 8,057.76, 12,082.08 and 2,862.72

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Solution

The fourth proportional to 8,057.76, 12,082.08 and 2,862.72 is: 4,292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.76 : 12,082.08 = 2,862.72 : x
  2. Step 2: Convert to fraction form
    8,057.76/12,082.08 = 2,862.72/x
  3. Step 3: Cross multiply
    8,057.76x = 12,082.08 × 2,862.72
  4. Step 4: Simplify right side
    8,057.76x = 34,587,612.06
  5. Step 5: Solve for x
    x = 34,587,612.06/8,057.76
  6. Step 6: Final answer
    x = 4,292.46

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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.