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Finding the Fourth Proportional to 8,773.92, 13,146.30 and 7,665.84

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Solution

The fourth proportional to 8,773.92, 13,146.30 and 7,665.84 is: 11,486.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,773.92 : 13,146.30 = 7,665.84 : x
  2. Step 2: Convert to fraction form
    8,773.92/13,146.30 = 7,665.84/x
  3. Step 3: Cross multiply
    8,773.92x = 13,146.30 × 7,665.84
  4. Step 4: Simplify right side
    8,773.92x = 100,777,432.39
  5. Step 5: Solve for x
    x = 100,777,432.39/8,773.92
  6. Step 6: Final answer
    x = 11,486.02

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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.