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Finding the Fourth Proportional to 6,999.46, 9,658.61 and 3,854.90

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Solution

The fourth proportional to 6,999.46, 9,658.61 and 3,854.90 is: 5,319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.46 : 9,658.61 = 3,854.90 : x
  2. Step 2: Convert to fraction form
    6,999.46/9,658.61 = 3,854.90/x
  3. Step 3: Cross multiply
    6,999.46x = 9,658.61 × 3,854.90
  4. Step 4: Simplify right side
    6,999.46x = 37,232,975.69
  5. Step 5: Solve for x
    x = 37,232,975.69/6,999.46
  6. Step 6: Final answer
    x = 5,319.41

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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.