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Finding the Fourth Proportional to 9,581.97, 13,223.12 and 5,390.22

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Solution

The fourth proportional to 9,581.97, 13,223.12 and 5,390.22 is: 7,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.97 : 13,223.12 = 5,390.22 : x
  2. Step 2: Convert to fraction form
    9,581.97/13,223.12 = 5,390.22/x
  3. Step 3: Cross multiply
    9,581.97x = 13,223.12 × 5,390.22
  4. Step 4: Simplify right side
    9,581.97x = 71,275,545.47
  5. Step 5: Solve for x
    x = 71,275,545.47/9,581.97
  6. Step 6: Final answer
    x = 7,438.50

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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.