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Finding the Fourth Proportional to 8,829.66, 12,163.17 and 7,566.66

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Solution

The fourth proportional to 8,829.66, 12,163.17 and 7,566.66 is: 10,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829.66 : 12,163.17 = 7,566.66 : x
  2. Step 2: Convert to fraction form
    8,829.66/12,163.17 = 7,566.66/x
  3. Step 3: Cross multiply
    8,829.66x = 12,163.17 × 7,566.66
  4. Step 4: Simplify right side
    8,829.66x = 92,034,571.91
  5. Step 5: Solve for x
    x = 92,034,571.91/8,829.66
  6. Step 6: Final answer
    x = 10,423.34

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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.