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Finding the Fourth Proportional to 6,092.10, 9,138.06 and 1,932.11

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Solution

The fourth proportional to 6,092.10, 9,138.06 and 1,932.11 is: 2,898.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.10 : 9,138.06 = 1,932.11 : x
  2. Step 2: Convert to fraction form
    6,092.10/9,138.06 = 1,932.11/x
  3. Step 3: Cross multiply
    6,092.10x = 9,138.06 × 1,932.11
  4. Step 4: Simplify right side
    6,092.10x = 17,655,725.68
  5. Step 5: Solve for x
    x = 17,655,725.68/6,092.10
  6. Step 6: Final answer
    x = 2,898.13

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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.