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Finding the Fourth Proportional to 6,105.53, 9,158.88 and 1,663.25

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Solution

The fourth proportional to 6,105.53, 9,158.88 and 1,663.25 is: 2,495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.53 : 9,158.88 = 1,663.25 : x
  2. Step 2: Convert to fraction form
    6,105.53/9,158.88 = 1,663.25/x
  3. Step 3: Cross multiply
    6,105.53x = 9,158.88 × 1,663.25
  4. Step 4: Simplify right side
    6,105.53x = 15,233,507.16
  5. Step 5: Solve for x
    x = 15,233,507.16/6,105.53
  6. Step 6: Final answer
    x = 2,495.03

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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.