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Finding the Fourth Proportional to 10,772.10, 16,158.15 and 7,856.10

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Solution

The fourth proportional to 10,772.10, 16,158.15 and 7,856.10 is: 11,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.10 : 16,158.15 = 7,856.10 : x
  2. Step 2: Convert to fraction form
    10,772.10/16,158.15 = 7,856.10/x
  3. Step 3: Cross multiply
    10,772.10x = 16,158.15 × 7,856.10
  4. Step 4: Simplify right side
    10,772.10x = 126,940,042.22
  5. Step 5: Solve for x
    x = 126,940,042.22/10,772.10
  6. Step 6: Final answer
    x = 11,784.15

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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.