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Finding the Fourth Proportional to 6,460.62, 9,691.29 and 1,843.50

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Solution

The fourth proportional to 6,460.62, 9,691.29 and 1,843.50 is: 2,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.62 : 9,691.29 = 1,843.50 : x
  2. Step 2: Convert to fraction form
    6,460.62/9,691.29 = 1,843.50/x
  3. Step 3: Cross multiply
    6,460.62x = 9,691.29 × 1,843.50
  4. Step 4: Simplify right side
    6,460.62x = 17,865,893.12
  5. Step 5: Solve for x
    x = 17,865,893.12/6,460.62
  6. Step 6: Final answer
    x = 2,765.35

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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.