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Finding the Fourth Proportional to 4,343.96, 6,515.24 and 1,422.24

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Solution

The fourth proportional to 4,343.96, 6,515.24 and 1,422.24 is: 2,133.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.96 : 6,515.24 = 1,422.24 : x
  2. Step 2: Convert to fraction form
    4,343.96/6,515.24 = 1,422.24/x
  3. Step 3: Cross multiply
    4,343.96x = 6,515.24 × 1,422.24
  4. Step 4: Simplify right side
    4,343.96x = 9,266,234.94
  5. Step 5: Solve for x
    x = 9,266,234.94/4,343.96
  6. Step 6: Final answer
    x = 2,133.13

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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.