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Finding the Fourth Proportional to 10,805.92, 16,187.72 and 9,630.48

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Solution

The fourth proportional to 10,805.92, 16,187.72 and 9,630.48 is: 14,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.92 : 16,187.72 = 9,630.48 : x
  2. Step 2: Convert to fraction form
    10,805.92/16,187.72 = 9,630.48/x
  3. Step 3: Cross multiply
    10,805.92x = 16,187.72 × 9,630.48
  4. Step 4: Simplify right side
    10,805.92x = 155,895,513.71
  5. Step 5: Solve for x
    x = 155,895,513.71/10,805.92
  6. Step 6: Final answer
    x = 14,426.86

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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.