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Finding the Fourth Proportional to 7,672.49, 11,452.72 and 6,583.85

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Solution

The fourth proportional to 7,672.49, 11,452.72 and 6,583.85 is: 9,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.49 : 11,452.72 = 6,583.85 : x
  2. Step 2: Convert to fraction form
    7,672.49/11,452.72 = 6,583.85/x
  3. Step 3: Cross multiply
    7,672.49x = 11,452.72 × 6,583.85
  4. Step 4: Simplify right side
    7,672.49x = 75,402,916.85
  5. Step 5: Solve for x
    x = 75,402,916.85/7,672.49
  6. Step 6: Final answer
    x = 9,827.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.