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Finding the Fourth Proportional to 3,693.17, 5,538.81 and 1,095.50

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Solution

The fourth proportional to 3,693.17, 5,538.81 and 1,095.50 is: 1,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.17 : 5,538.81 = 1,095.50 : x
  2. Step 2: Convert to fraction form
    3,693.17/5,538.81 = 1,095.50/x
  3. Step 3: Cross multiply
    3,693.17x = 5,538.81 × 1,095.50
  4. Step 4: Simplify right side
    3,693.17x = 6,067,766.36
  5. Step 5: Solve for x
    x = 6,067,766.36/3,693.17
  6. Step 6: Final answer
    x = 1,642.97

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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.