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Finding the Fourth Proportional to 7,167.24, 9,890.78 and 4,023.42

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Solution

The fourth proportional to 7,167.24, 9,890.78 and 4,023.42 is: 5,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.24 : 9,890.78 = 4,023.42 : x
  2. Step 2: Convert to fraction form
    7,167.24/9,890.78 = 4,023.42/x
  3. Step 3: Cross multiply
    7,167.24x = 9,890.78 × 4,023.42
  4. Step 4: Simplify right side
    7,167.24x = 39,794,741.95
  5. Step 5: Solve for x
    x = 39,794,741.95/7,167.24
  6. Step 6: Final answer
    x = 5,552.31

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1.5x scale

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.