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Finding the Fourth Proportional to 6,615.68, 9,894.35 and 3,835.15

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Solution

The fourth proportional to 6,615.68, 9,894.35 and 3,835.15 is: 5,735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.68 : 9,894.35 = 3,835.15 : x
  2. Step 2: Convert to fraction form
    6,615.68/9,894.35 = 3,835.15/x
  3. Step 3: Cross multiply
    6,615.68x = 9,894.35 × 3,835.15
  4. Step 4: Simplify right side
    6,615.68x = 37,946,301.25
  5. Step 5: Solve for x
    x = 37,946,301.25/6,615.68
  6. Step 6: Final answer
    x = 5,735.82

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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.