Home / 9,734.20-13,434.24-5,542

Finding the Fourth Proportional to 9,734.20, 13,434.24 and 5,542

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Solution

The fourth proportional to 9,734.20, 13,434.24 and 5,542 is: 7,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.20 : 13,434.24 = 5,542 : x
  2. Step 2: Convert to fraction form
    9,734.20/13,434.24 = 5,542/x
  3. Step 3: Cross multiply
    9,734.20x = 13,434.24 × 5,542
  4. Step 4: Simplify right side
    9,734.20x = 74,452,558.08
  5. Step 5: Solve for x
    x = 74,452,558.08/9,734.20
  6. Step 6: Final answer
    x = 7,648.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.