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Finding the Fourth Proportional to 8,140.96, 12,213.15 and 2,594.76

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Solution

The fourth proportional to 8,140.96, 12,213.15 and 2,594.76 is: 3,892.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.96 : 12,213.15 = 2,594.76 : x
  2. Step 2: Convert to fraction form
    8,140.96/12,213.15 = 2,594.76/x
  3. Step 3: Cross multiply
    8,140.96x = 12,213.15 × 2,594.76
  4. Step 4: Simplify right side
    8,140.96x = 31,690,193.81
  5. Step 5: Solve for x
    x = 31,690,193.81/8,140.96
  6. Step 6: Final answer
    x = 3,892.69

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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.