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Finding the Fourth Proportional to 7,208.97, 9,948.45 and 4,022.24

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Solution

The fourth proportional to 7,208.97, 9,948.45 and 4,022.24 is: 5,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.97 : 9,948.45 = 4,022.24 : x
  2. Step 2: Convert to fraction form
    7,208.97/9,948.45 = 4,022.24/x
  3. Step 3: Cross multiply
    7,208.97x = 9,948.45 × 4,022.24
  4. Step 4: Simplify right side
    7,208.97x = 40,015,053.53
  5. Step 5: Solve for x
    x = 40,015,053.53/7,208.97
  6. Step 6: Final answer
    x = 5,550.73

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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.