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Finding the Fourth Proportional to 28,082.70, 42,124.05 and 7,306.20

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Solution

The fourth proportional to 28,082.70, 42,124.05 and 7,306.20 is: 10,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,082.70 : 42,124.05 = 7,306.20 : x
  2. Step 2: Convert to fraction form
    28,082.70/42,124.05 = 7,306.20/x
  3. Step 3: Cross multiply
    28,082.70x = 42,124.05 × 7,306.20
  4. Step 4: Simplify right side
    28,082.70x = 307,766,734.11
  5. Step 5: Solve for x
    x = 307,766,734.11/28,082.70
  6. Step 6: Final answer
    x = 10,959.30

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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.