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Finding the Fourth Proportional to 9,691.21, 14,536.82 and 6,775.21

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Solution

The fourth proportional to 9,691.21, 14,536.82 and 6,775.21 is: 10,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.21 : 14,536.82 = 6,775.21 : x
  2. Step 2: Convert to fraction form
    9,691.21/14,536.82 = 6,775.21/x
  3. Step 3: Cross multiply
    9,691.21x = 14,536.82 × 6,775.21
  4. Step 4: Simplify right side
    9,691.21x = 98,490,008.23
  5. Step 5: Solve for x
    x = 98,490,008.23/9,691.21
  6. Step 6: Final answer
    x = 10,162.82

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Similar ratio
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1.5x scale

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.