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Finding the Fourth Proportional to 6,596.44, 9,105.30 and 5,254.60

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Solution

The fourth proportional to 6,596.44, 9,105.30 and 5,254.60 is: 7,253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.44 : 9,105.30 = 5,254.60 : x
  2. Step 2: Convert to fraction form
    6,596.44/9,105.30 = 5,254.60/x
  3. Step 3: Cross multiply
    6,596.44x = 9,105.30 × 5,254.60
  4. Step 4: Simplify right side
    6,596.44x = 47,844,709.38
  5. Step 5: Solve for x
    x = 47,844,709.38/6,596.44
  6. Step 6: Final answer
    x = 7,253.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.