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Finding the Fourth Proportional to 7,206.67, 10,795.61 and 5,728.39

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Solution

The fourth proportional to 7,206.67, 10,795.61 and 5,728.39 is: 8,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.67 : 10,795.61 = 5,728.39 : x
  2. Step 2: Convert to fraction form
    7,206.67/10,795.61 = 5,728.39/x
  3. Step 3: Cross multiply
    7,206.67x = 10,795.61 × 5,728.39
  4. Step 4: Simplify right side
    7,206.67x = 61,841,451.70
  5. Step 5: Solve for x
    x = 61,841,451.70/7,206.67
  6. Step 6: Final answer
    x = 8,581.14

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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.