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Finding the Fourth Proportional to 6,755.01, 10,132.06 and 2,312.25

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Solution

The fourth proportional to 6,755.01, 10,132.06 and 2,312.25 is: 3,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.01 : 10,132.06 = 2,312.25 : x
  2. Step 2: Convert to fraction form
    6,755.01/10,132.06 = 2,312.25/x
  3. Step 3: Cross multiply
    6,755.01x = 10,132.06 × 2,312.25
  4. Step 4: Simplify right side
    6,755.01x = 23,427,855.74
  5. Step 5: Solve for x
    x = 23,427,855.74/6,755.01
  6. Step 6: Final answer
    x = 3,468.22

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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.