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Finding the Fourth Proportional to 6,694.60, 10,041.78 and 2,077.60

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Solution

The fourth proportional to 6,694.60, 10,041.78 and 2,077.60 is: 3,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.60 : 10,041.78 = 2,077.60 : x
  2. Step 2: Convert to fraction form
    6,694.60/10,041.78 = 2,077.60/x
  3. Step 3: Cross multiply
    6,694.60x = 10,041.78 × 2,077.60
  4. Step 4: Simplify right side
    6,694.60x = 20,862,802.13
  5. Step 5: Solve for x
    x = 20,862,802.13/6,694.60
  6. Step 6: Final answer
    x = 3,116.36

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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.