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Finding the Fourth Proportional to 8,561.61, 11,823.10 and 8,095.66

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Solution

The fourth proportional to 8,561.61, 11,823.10 and 8,095.66 is: 11,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.61 : 11,823.10 = 8,095.66 : x
  2. Step 2: Convert to fraction form
    8,561.61/11,823.10 = 8,095.66/x
  3. Step 3: Cross multiply
    8,561.61x = 11,823.10 × 8,095.66
  4. Step 4: Simplify right side
    8,561.61x = 95,715,747.95
  5. Step 5: Solve for x
    x = 95,715,747.95/8,561.61
  6. Step 6: Final answer
    x = 11,179.64

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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.