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Finding the Fourth Proportional to 6,736.50, 9,293.85 and 6,726.11

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Solution

The fourth proportional to 6,736.50, 9,293.85 and 6,726.11 is: 9,279.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.50 : 9,293.85 = 6,726.11 : x
  2. Step 2: Convert to fraction form
    6,736.50/9,293.85 = 6,726.11/x
  3. Step 3: Cross multiply
    6,736.50x = 9,293.85 × 6,726.11
  4. Step 4: Simplify right side
    6,736.50x = 62,511,457.42
  5. Step 5: Solve for x
    x = 62,511,457.42/6,736.50
  6. Step 6: Final answer
    x = 9,279.52

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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.