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Finding the Fourth Proportional to 6,695.28, 10,043.04 and 2,078.28

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Solution

The fourth proportional to 6,695.28, 10,043.04 and 2,078.28 is: 3,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.28 : 10,043.04 = 2,078.28 : x
  2. Step 2: Convert to fraction form
    6,695.28/10,043.04 = 2,078.28/x
  3. Step 3: Cross multiply
    6,695.28x = 10,043.04 × 2,078.28
  4. Step 4: Simplify right side
    6,695.28x = 20,872,249.17
  5. Step 5: Solve for x
    x = 20,872,249.17/6,695.28
  6. Step 6: Final answer
    x = 3,117.46

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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.