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Finding the Fourth Proportional to 10,869.99, 16,255.17 and 8,098.59

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Solution

The fourth proportional to 10,869.99, 16,255.17 and 8,098.59 is: 12,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.99 : 16,255.17 = 8,098.59 : x
  2. Step 2: Convert to fraction form
    10,869.99/16,255.17 = 8,098.59/x
  3. Step 3: Cross multiply
    10,869.99x = 16,255.17 × 8,098.59
  4. Step 4: Simplify right side
    10,869.99x = 131,643,957.21
  5. Step 5: Solve for x
    x = 131,643,957.21/10,869.99
  6. Step 6: Final answer
    x = 12,110.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.