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Finding the Fourth Proportional to 10,866.70, 16,305.52 and 8,098.93

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Solution

The fourth proportional to 10,866.70, 16,305.52 and 8,098.93 is: 12,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.70 : 16,305.52 = 8,098.93 : x
  2. Step 2: Convert to fraction form
    10,866.70/16,305.52 = 8,098.93/x
  3. Step 3: Cross multiply
    10,866.70x = 16,305.52 × 8,098.93
  4. Step 4: Simplify right side
    10,866.70x = 132,057,204.08
  5. Step 5: Solve for x
    x = 132,057,204.08/10,866.70
  6. Step 6: Final answer
    x = 12,152.47

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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.