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Finding the Fourth Proportional to 6,107.87, 9,162.32 and 1,948.47

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Solution

The fourth proportional to 6,107.87, 9,162.32 and 1,948.47 is: 2,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.87 : 9,162.32 = 1,948.47 : x
  2. Step 2: Convert to fraction form
    6,107.87/9,162.32 = 1,948.47/x
  3. Step 3: Cross multiply
    6,107.87x = 9,162.32 × 1,948.47
  4. Step 4: Simplify right side
    6,107.87x = 17,852,505.65
  5. Step 5: Solve for x
    x = 17,852,505.65/6,107.87
  6. Step 6: Final answer
    x = 2,922.87

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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.