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Finding the Fourth Proportional to 10,580.64, 15,874.20 and 6,679.68

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Solution

The fourth proportional to 10,580.64, 15,874.20 and 6,679.68 is: 10,021.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.64 : 15,874.20 = 6,679.68 : x
  2. Step 2: Convert to fraction form
    10,580.64/15,874.20 = 6,679.68/x
  3. Step 3: Cross multiply
    10,580.64x = 15,874.20 × 6,679.68
  4. Step 4: Simplify right side
    10,580.64x = 106,034,576.26
  5. Step 5: Solve for x
    x = 106,034,576.26/10,580.64
  6. Step 6: Final answer
    x = 10,021.57

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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.