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Finding the Fourth Proportional to 6,615.60, 9,908.18 and 3,835.38

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Solution

The fourth proportional to 6,615.60, 9,908.18 and 3,835.38 is: 5,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.60 : 9,908.18 = 3,835.38 : x
  2. Step 2: Convert to fraction form
    6,615.60/9,908.18 = 3,835.38/x
  3. Step 3: Cross multiply
    6,615.60x = 9,908.18 × 3,835.38
  4. Step 4: Simplify right side
    6,615.60x = 38,001,635.41
  5. Step 5: Solve for x
    x = 38,001,635.41/6,615.60
  6. Step 6: Final answer
    x = 5,744.25

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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.