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Finding the Fourth Proportional to 7,229.52, 10,780.83 and 6,829.38

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Solution

The fourth proportional to 7,229.52, 10,780.83 and 6,829.38 is: 10,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.52 : 10,780.83 = 6,829.38 : x
  2. Step 2: Convert to fraction form
    7,229.52/10,780.83 = 6,829.38/x
  3. Step 3: Cross multiply
    7,229.52x = 10,780.83 × 6,829.38
  4. Step 4: Simplify right side
    7,229.52x = 73,626,384.79
  5. Step 5: Solve for x
    x = 73,626,384.79/7,229.52
  6. Step 6: Final answer
    x = 10,184.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.