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Finding the Fourth Proportional to 6,301.18, 8,695.56 and 3,468.50

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Solution

The fourth proportional to 6,301.18, 8,695.56 and 3,468.50 is: 4,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.18 : 8,695.56 = 3,468.50 : x
  2. Step 2: Convert to fraction form
    6,301.18/8,695.56 = 3,468.50/x
  3. Step 3: Cross multiply
    6,301.18x = 8,695.56 × 3,468.50
  4. Step 4: Simplify right side
    6,301.18x = 30,160,506.38
  5. Step 5: Solve for x
    x = 30,160,506.38/6,301.18
  6. Step 6: Final answer
    x = 4,786.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.