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Finding the Fourth Proportional to 10,296.38, 14,211.55 and 6,764.38

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Solution

The fourth proportional to 10,296.38, 14,211.55 and 6,764.38 is: 9,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.38 : 14,211.55 = 6,764.38 : x
  2. Step 2: Convert to fraction form
    10,296.38/14,211.55 = 6,764.38/x
  3. Step 3: Cross multiply
    10,296.38x = 14,211.55 × 6,764.38
  4. Step 4: Simplify right side
    10,296.38x = 96,132,297.52
  5. Step 5: Solve for x
    x = 96,132,297.52/10,296.38
  6. Step 6: Final answer
    x = 9,336.51

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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.