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Finding the Fourth Proportional to 7,202.65, 10,793.85 and 5,724.40

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Solution

The fourth proportional to 7,202.65, 10,793.85 and 5,724.40 is: 8,578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.65 : 10,793.85 = 5,724.40 : x
  2. Step 2: Convert to fraction form
    7,202.65/10,793.85 = 5,724.40/x
  3. Step 3: Cross multiply
    7,202.65x = 10,793.85 × 5,724.40
  4. Step 4: Simplify right side
    7,202.65x = 61,788,314.94
  5. Step 5: Solve for x
    x = 61,788,314.94/7,202.65
  6. Step 6: Final answer
    x = 8,578.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.