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Finding the Fourth Proportional to 10,999.87, 16,472.46 and 7,697.50

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Solution

The fourth proportional to 10,999.87, 16,472.46 and 7,697.50 is: 11,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.87 : 16,472.46 = 7,697.50 : x
  2. Step 2: Convert to fraction form
    10,999.87/16,472.46 = 7,697.50/x
  3. Step 3: Cross multiply
    10,999.87x = 16,472.46 × 7,697.50
  4. Step 4: Simplify right side
    10,999.87x = 126,796,760.85
  5. Step 5: Solve for x
    x = 126,796,760.85/10,999.87
  6. Step 6: Final answer
    x = 11,527.11

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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.