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Finding the Fourth Proportional to 6,688.67, 9,230.24 and 3,704.49

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Solution

The fourth proportional to 6,688.67, 9,230.24 and 3,704.49 is: 5,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.67 : 9,230.24 = 3,704.49 : x
  2. Step 2: Convert to fraction form
    6,688.67/9,230.24 = 3,704.49/x
  3. Step 3: Cross multiply
    6,688.67x = 9,230.24 × 3,704.49
  4. Step 4: Simplify right side
    6,688.67x = 34,193,341.04
  5. Step 5: Solve for x
    x = 34,193,341.04/6,688.67
  6. Step 6: Final answer
    x = 5,112.13

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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.