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Finding the Fourth Proportional to 10,850.76, 16,242.12 and 6,957.90

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Solution

The fourth proportional to 10,850.76, 16,242.12 and 6,957.90 is: 10,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.76 : 16,242.12 = 6,957.90 : x
  2. Step 2: Convert to fraction form
    10,850.76/16,242.12 = 6,957.90/x
  3. Step 3: Cross multiply
    10,850.76x = 16,242.12 × 6,957.90
  4. Step 4: Simplify right side
    10,850.76x = 113,011,046.75
  5. Step 5: Solve for x
    x = 113,011,046.75/10,850.76
  6. Step 6: Final answer
    x = 10,415.04

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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.