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Finding the Fourth Proportional to 6,596.48, 9,104.64 and 4,112

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Solution

The fourth proportional to 6,596.48, 9,104.64 and 4,112 is: 5,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.48 : 9,104.64 = 4,112 : x
  2. Step 2: Convert to fraction form
    6,596.48/9,104.64 = 4,112/x
  3. Step 3: Cross multiply
    6,596.48x = 9,104.64 × 4,112
  4. Step 4: Simplify right side
    6,596.48x = 37,438,279.68
  5. Step 5: Solve for x
    x = 37,438,279.68/6,596.48
  6. Step 6: Final answer
    x = 5,675.49

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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.