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Finding the Fourth Proportional to 6,176.50, 9,265.71 and 2,073.46

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Solution

The fourth proportional to 6,176.50, 9,265.71 and 2,073.46 is: 3,110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.50 : 9,265.71 = 2,073.46 : x
  2. Step 2: Convert to fraction form
    6,176.50/9,265.71 = 2,073.46/x
  3. Step 3: Cross multiply
    6,176.50x = 9,265.71 × 2,073.46
  4. Step 4: Simplify right side
    6,176.50x = 19,212,079.06
  5. Step 5: Solve for x
    x = 19,212,079.06/6,176.50
  6. Step 6: Final answer
    x = 3,110.51

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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.