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Finding the Fourth Proportional to 6,707.85, 9,256.86 and 3,724.11

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Solution

The fourth proportional to 6,707.85, 9,256.86 and 3,724.11 is: 5,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.85 : 9,256.86 = 3,724.11 : x
  2. Step 2: Convert to fraction form
    6,707.85/9,256.86 = 3,724.11/x
  3. Step 3: Cross multiply
    6,707.85x = 9,256.86 × 3,724.11
  4. Step 4: Simplify right side
    6,707.85x = 34,473,564.89
  5. Step 5: Solve for x
    x = 34,473,564.89/6,707.85
  6. Step 6: Final answer
    x = 5,139.29

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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.