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Finding the Fourth Proportional to 8,293.86, 11,446.11 and 4,757.13

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Solution

The fourth proportional to 8,293.86, 11,446.11 and 4,757.13 is: 6,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.86 : 11,446.11 = 4,757.13 : x
  2. Step 2: Convert to fraction form
    8,293.86/11,446.11 = 4,757.13/x
  3. Step 3: Cross multiply
    8,293.86x = 11,446.11 × 4,757.13
  4. Step 4: Simplify right side
    8,293.86x = 54,450,633.26
  5. Step 5: Solve for x
    x = 54,450,633.26/8,293.86
  6. Step 6: Final answer
    x = 6,565.17

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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.