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Finding the Fourth Proportional to 8,294.40, 11,446.20 and 4,759.56

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Solution

The fourth proportional to 8,294.40, 11,446.20 and 4,759.56 is: 6,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.40 : 11,446.20 = 4,759.56 : x
  2. Step 2: Convert to fraction form
    8,294.40/11,446.20 = 4,759.56/x
  3. Step 3: Cross multiply
    8,294.40x = 11,446.20 × 4,759.56
  4. Step 4: Simplify right side
    8,294.40x = 54,478,875.67
  5. Step 5: Solve for x
    x = 54,478,875.67/8,294.40
  6. Step 6: Final answer
    x = 6,568.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.