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Finding the Fourth Proportional to 6,524.25, 9,767.73 and 6,110.43

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Solution

The fourth proportional to 6,524.25, 9,767.73 and 6,110.43 is: 9,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.25 : 9,767.73 = 6,110.43 : x
  2. Step 2: Convert to fraction form
    6,524.25/9,767.73 = 6,110.43/x
  3. Step 3: Cross multiply
    6,524.25x = 9,767.73 × 6,110.43
  4. Step 4: Simplify right side
    6,524.25x = 59,685,030.42
  5. Step 5: Solve for x
    x = 59,685,030.42/6,524.25
  6. Step 6: Final answer
    x = 9,148.18

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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.