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Finding the Fourth Proportional to 6,767.52, 10,152.88 and 2,150.52

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Solution

The fourth proportional to 6,767.52, 10,152.88 and 2,150.52 is: 3,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.52 : 10,152.88 = 2,150.52 : x
  2. Step 2: Convert to fraction form
    6,767.52/10,152.88 = 2,150.52/x
  3. Step 3: Cross multiply
    6,767.52x = 10,152.88 × 2,150.52
  4. Step 4: Simplify right side
    6,767.52x = 21,833,971.50
  5. Step 5: Solve for x
    x = 21,833,971.50/6,767.52
  6. Step 6: Final answer
    x = 3,226.29

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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.