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Finding the Fourth Proportional to 6,452.66, 9,672.90 and 5,058.26

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Solution

The fourth proportional to 6,452.66, 9,672.90 and 5,058.26 is: 7,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.66 : 9,672.90 = 5,058.26 : x
  2. Step 2: Convert to fraction form
    6,452.66/9,672.90 = 5,058.26/x
  3. Step 3: Cross multiply
    6,452.66x = 9,672.90 × 5,058.26
  4. Step 4: Simplify right side
    6,452.66x = 48,928,043.15
  5. Step 5: Solve for x
    x = 48,928,043.15/6,452.66
  6. Step 6: Final answer
    x = 7,582.62

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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.