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Finding the Fourth Proportional to 8,195.70, 11,301.14 and 5,538.50

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Solution

The fourth proportional to 8,195.70, 11,301.14 and 5,538.50 is: 7,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.70 : 11,301.14 = 5,538.50 : x
  2. Step 2: Convert to fraction form
    8,195.70/11,301.14 = 5,538.50/x
  3. Step 3: Cross multiply
    8,195.70x = 11,301.14 × 5,538.50
  4. Step 4: Simplify right side
    8,195.70x = 62,591,363.89
  5. Step 5: Solve for x
    x = 62,591,363.89/8,195.70
  6. Step 6: Final answer
    x = 7,637.10

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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.