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Finding the Fourth Proportional to 10,767.36, 14,858.82 and 6,575.61

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Solution

The fourth proportional to 10,767.36, 14,858.82 and 6,575.61 is: 9,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.36 : 14,858.82 = 6,575.61 : x
  2. Step 2: Convert to fraction form
    10,767.36/14,858.82 = 6,575.61/x
  3. Step 3: Cross multiply
    10,767.36x = 14,858.82 × 6,575.61
  4. Step 4: Simplify right side
    10,767.36x = 97,705,805.38
  5. Step 5: Solve for x
    x = 97,705,805.38/10,767.36
  6. Step 6: Final answer
    x = 9,074.26

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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.