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Finding the Fourth Proportional to 10,546.65, 14,559.66 and 6,775.38

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Solution

The fourth proportional to 10,546.65, 14,559.66 and 6,775.38 is: 9,353.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.65 : 14,559.66 = 6,775.38 : x
  2. Step 2: Convert to fraction form
    10,546.65/14,559.66 = 6,775.38/x
  3. Step 3: Cross multiply
    10,546.65x = 14,559.66 × 6,775.38
  4. Step 4: Simplify right side
    10,546.65x = 98,647,229.17
  5. Step 5: Solve for x
    x = 98,647,229.17/10,546.65
  6. Step 6: Final answer
    x = 9,353.42

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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.