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Finding the Fourth Proportional to 11,861.97, 17,756.03 and 7,470.20

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Solution

The fourth proportional to 11,861.97, 17,756.03 and 7,470.20 is: 11,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.97 : 17,756.03 = 7,470.20 : x
  2. Step 2: Convert to fraction form
    11,861.97/17,756.03 = 7,470.20/x
  3. Step 3: Cross multiply
    11,861.97x = 17,756.03 × 7,470.20
  4. Step 4: Simplify right side
    11,861.97x = 132,641,095.31
  5. Step 5: Solve for x
    x = 132,641,095.31/11,861.97
  6. Step 6: Final answer
    x = 11,182.05

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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.