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Finding the Fourth Proportional to 9,173.66, 13,760.48 and 2,599.90

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Solution

The fourth proportional to 9,173.66, 13,760.48 and 2,599.90 is: 3,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,173.66 : 13,760.48 = 2,599.90 : x
  2. Step 2: Convert to fraction form
    9,173.66/13,760.48 = 2,599.90/x
  3. Step 3: Cross multiply
    9,173.66x = 13,760.48 × 2,599.90
  4. Step 4: Simplify right side
    9,173.66x = 35,775,844.05
  5. Step 5: Solve for x
    x = 35,775,844.05/9,173.66
  6. Step 6: Final answer
    x = 3,899.85

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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.