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Finding the Fourth Proportional to 8,329.82, 11,495.97 and 4,972.64

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Solution

The fourth proportional to 8,329.82, 11,495.97 and 4,972.64 is: 6,862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.82 : 11,495.97 = 4,972.64 : x
  2. Step 2: Convert to fraction form
    8,329.82/11,495.97 = 4,972.64/x
  3. Step 3: Cross multiply
    8,329.82x = 11,495.97 × 4,972.64
  4. Step 4: Simplify right side
    8,329.82x = 57,165,262.78
  5. Step 5: Solve for x
    x = 57,165,262.78/8,329.82
  6. Step 6: Final answer
    x = 6,862.73

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1.5x scale

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.