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Finding the Fourth Proportional to 6,663.96, 9,197.15 and 3,869.46

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Solution

The fourth proportional to 6,663.96, 9,197.15 and 3,869.46 is: 5,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.96 : 9,197.15 = 3,869.46 : x
  2. Step 2: Convert to fraction form
    6,663.96/9,197.15 = 3,869.46/x
  3. Step 3: Cross multiply
    6,663.96x = 9,197.15 × 3,869.46
  4. Step 4: Simplify right side
    6,663.96x = 35,587,984.69
  5. Step 5: Solve for x
    x = 35,587,984.69/6,663.96
  6. Step 6: Final answer
    x = 5,340.37

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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.