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Finding the Fourth Proportional to 7,996.87, 11,914.90 and 7,549.75

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Solution

The fourth proportional to 7,996.87, 11,914.90 and 7,549.75 is: 11,248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.87 : 11,914.90 = 7,549.75 : x
  2. Step 2: Convert to fraction form
    7,996.87/11,914.90 = 7,549.75/x
  3. Step 3: Cross multiply
    7,996.87x = 11,914.90 × 7,549.75
  4. Step 4: Simplify right side
    7,996.87x = 89,954,516.28
  5. Step 5: Solve for x
    x = 89,954,516.28/7,996.87
  6. Step 6: Final answer
    x = 11,248.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.