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Finding the Fourth Proportional to 7,209.52, 9,950.73 and 4,687.24

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Solution

The fourth proportional to 7,209.52, 9,950.73 and 4,687.24 is: 6,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.52 : 9,950.73 = 4,687.24 : x
  2. Step 2: Convert to fraction form
    7,209.52/9,950.73 = 4,687.24/x
  3. Step 3: Cross multiply
    7,209.52x = 9,950.73 × 4,687.24
  4. Step 4: Simplify right side
    7,209.52x = 46,641,459.69
  5. Step 5: Solve for x
    x = 46,641,459.69/7,209.52
  6. Step 6: Final answer
    x = 6,469.43

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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.