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Finding the Fourth Proportional to 7,133.52, 9,843.49 and 4,149.96

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Solution

The fourth proportional to 7,133.52, 9,843.49 and 4,149.96 is: 5,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.52 : 9,843.49 = 4,149.96 : x
  2. Step 2: Convert to fraction form
    7,133.52/9,843.49 = 4,149.96/x
  3. Step 3: Cross multiply
    7,133.52x = 9,843.49 × 4,149.96
  4. Step 4: Simplify right side
    7,133.52x = 40,850,089.76
  5. Step 5: Solve for x
    x = 40,850,089.76/7,133.52
  6. Step 6: Final answer
    x = 5,726.50

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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.