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Finding the Fourth Proportional to 6,294.68, 9,441.97 and 1,614.68

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Solution

The fourth proportional to 6,294.68, 9,441.97 and 1,614.68 is: 2,422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.68 : 9,441.97 = 1,614.68 : x
  2. Step 2: Convert to fraction form
    6,294.68/9,441.97 = 1,614.68/x
  3. Step 3: Cross multiply
    6,294.68x = 9,441.97 × 1,614.68
  4. Step 4: Simplify right side
    6,294.68x = 15,245,760.12
  5. Step 5: Solve for x
    x = 15,245,760.12/6,294.68
  6. Step 6: Final answer
    x = 2,422.01

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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.