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Finding the Fourth Proportional to 6,580.32, 9,077.04 and 4,092

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Solution

The fourth proportional to 6,580.32, 9,077.04 and 4,092 is: 5,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.32 : 9,077.04 = 4,092 : x
  2. Step 2: Convert to fraction form
    6,580.32/9,077.04 = 4,092/x
  3. Step 3: Cross multiply
    6,580.32x = 9,077.04 × 4,092
  4. Step 4: Simplify right side
    6,580.32x = 37,143,247.68
  5. Step 5: Solve for x
    x = 37,143,247.68/6,580.32
  6. Step 6: Final answer
    x = 5,644.60

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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.