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Finding the Fourth Proportional to 9,195.96, 12,679.11 and 7,777.11

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Solution

The fourth proportional to 9,195.96, 12,679.11 and 7,777.11 is: 10,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.96 : 12,679.11 = 7,777.11 : x
  2. Step 2: Convert to fraction form
    9,195.96/12,679.11 = 7,777.11/x
  3. Step 3: Cross multiply
    9,195.96x = 12,679.11 × 7,777.11
  4. Step 4: Simplify right side
    9,195.96x = 98,606,833.17
  5. Step 5: Solve for x
    x = 98,606,833.17/9,195.96
  6. Step 6: Final answer
    x = 10,722.84

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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.