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Finding the Fourth Proportional to 10,886.92, 16,287.86 and 9,560.14

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Solution

The fourth proportional to 10,886.92, 16,287.86 and 9,560.14 is: 14,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.92 : 16,287.86 = 9,560.14 : x
  2. Step 2: Convert to fraction form
    10,886.92/16,287.86 = 9,560.14/x
  3. Step 3: Cross multiply
    10,886.92x = 16,287.86 × 9,560.14
  4. Step 4: Simplify right side
    10,886.92x = 155,714,242.92
  5. Step 5: Solve for x
    x = 155,714,242.92/10,886.92
  6. Step 6: Final answer
    x = 14,302.87

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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.