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Finding the Fourth Proportional to 6,998.25, 10,499.01 and 2,381.25

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Solution

The fourth proportional to 6,998.25, 10,499.01 and 2,381.25 is: 3,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.25 : 10,499.01 = 2,381.25 : x
  2. Step 2: Convert to fraction form
    6,998.25/10,499.01 = 2,381.25/x
  3. Step 3: Cross multiply
    6,998.25x = 10,499.01 × 2,381.25
  4. Step 4: Simplify right side
    6,998.25x = 25,000,767.56
  5. Step 5: Solve for x
    x = 25,000,767.56/6,998.25
  6. Step 6: Final answer
    x = 3,572.43

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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.