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Finding the Fourth Proportional to 4,900.88, 7,352.22 and 1,614.17

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Solution

The fourth proportional to 4,900.88, 7,352.22 and 1,614.17 is: 2,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.88 : 7,352.22 = 1,614.17 : x
  2. Step 2: Convert to fraction form
    4,900.88/7,352.22 = 1,614.17/x
  3. Step 3: Cross multiply
    4,900.88x = 7,352.22 × 1,614.17
  4. Step 4: Simplify right side
    4,900.88x = 11,867,732.96
  5. Step 5: Solve for x
    x = 11,867,732.96/4,900.88
  6. Step 6: Final answer
    x = 2,421.55

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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.