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Finding the Fourth Proportional to 8,294.92, 11,446.02 and 4,759.30

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Solution

The fourth proportional to 8,294.92, 11,446.02 and 4,759.30 is: 6,567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.92 : 11,446.02 = 4,759.30 : x
  2. Step 2: Convert to fraction form
    8,294.92/11,446.02 = 4,759.30/x
  3. Step 3: Cross multiply
    8,294.92x = 11,446.02 × 4,759.30
  4. Step 4: Simplify right side
    8,294.92x = 54,475,042.99
  5. Step 5: Solve for x
    x = 54,475,042.99/8,294.92
  6. Step 6: Final answer
    x = 6,567.28

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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.