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Finding the Fourth Proportional to 6,695.68, 10,043.52 and 2,078.68

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Solution

The fourth proportional to 6,695.68, 10,043.52 and 2,078.68 is: 3,118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.68 : 10,043.52 = 2,078.68 : x
  2. Step 2: Convert to fraction form
    6,695.68/10,043.52 = 2,078.68/x
  3. Step 3: Cross multiply
    6,695.68x = 10,043.52 × 2,078.68
  4. Step 4: Simplify right side
    6,695.68x = 20,877,264.15
  5. Step 5: Solve for x
    x = 20,877,264.15/6,695.68
  6. Step 6: Final answer
    x = 3,118.02

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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.