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Finding the Fourth Proportional to 23,082.68, 34,624.04 and 6,442.76

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Solution

The fourth proportional to 23,082.68, 34,624.04 and 6,442.76 is: 9,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.68 : 34,624.04 = 6,442.76 : x
  2. Step 2: Convert to fraction form
    23,082.68/34,624.04 = 6,442.76/x
  3. Step 3: Cross multiply
    23,082.68x = 34,624.04 × 6,442.76
  4. Step 4: Simplify right side
    23,082.68x = 223,074,379.95
  5. Step 5: Solve for x
    x = 223,074,379.95/23,082.68
  6. Step 6: Final answer
    x = 9,664.15

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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.