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Finding the Fourth Proportional to 6,656.75, 9,985.14 and 2,039.75

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Solution

The fourth proportional to 6,656.75, 9,985.14 and 2,039.75 is: 3,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.75 : 9,985.14 = 2,039.75 : x
  2. Step 2: Convert to fraction form
    6,656.75/9,985.14 = 2,039.75/x
  3. Step 3: Cross multiply
    6,656.75x = 9,985.14 × 2,039.75
  4. Step 4: Simplify right side
    6,656.75x = 20,367,189.32
  5. Step 5: Solve for x
    x = 20,367,189.32/6,656.75
  6. Step 6: Final answer
    x = 3,059.63

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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.