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Finding the Fourth Proportional to 6,076, 9,109.11 and 2,615.68

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Solution

The fourth proportional to 6,076, 9,109.11 and 2,615.68 is: 3,921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076 : 9,109.11 = 2,615.68 : x
  2. Step 2: Convert to fraction form
    6,076/9,109.11 = 2,615.68/x
  3. Step 3: Cross multiply
    6,076x = 9,109.11 × 2,615.68
  4. Step 4: Simplify right side
    6,076x = 23,826,516.84
  5. Step 5: Solve for x
    x = 23,826,516.84/6,076
  6. Step 6: Final answer
    x = 3,921.41

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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.