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Finding the Fourth Proportional to 8,709.75, 12,011.31 and 6,717.15

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Solution

The fourth proportional to 8,709.75, 12,011.31 and 6,717.15 is: 9,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.75 : 12,011.31 = 6,717.15 : x
  2. Step 2: Convert to fraction form
    8,709.75/12,011.31 = 6,717.15/x
  3. Step 3: Cross multiply
    8,709.75x = 12,011.31 × 6,717.15
  4. Step 4: Simplify right side
    8,709.75x = 80,681,770.97
  5. Step 5: Solve for x
    x = 80,681,770.97/8,709.75
  6. Step 6: Final answer
    x = 9,263.39

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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.