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Finding the Fourth Proportional to 6,560.10, 9,841.56 and 2,118.03

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Solution

The fourth proportional to 6,560.10, 9,841.56 and 2,118.03 is: 3,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.10 : 9,841.56 = 2,118.03 : x
  2. Step 2: Convert to fraction form
    6,560.10/9,841.56 = 2,118.03/x
  3. Step 3: Cross multiply
    6,560.10x = 9,841.56 × 2,118.03
  4. Step 4: Simplify right side
    6,560.10x = 20,844,719.33
  5. Step 5: Solve for x
    x = 20,844,719.33/6,560.10
  6. Step 6: Final answer
    x = 3,177.50

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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.