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Finding the Fourth Proportional to 11,808.16, 17,712.22 and 8,099.14

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Solution

The fourth proportional to 11,808.16, 17,712.22 and 8,099.14 is: 12,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.16 : 17,712.22 = 8,099.14 : x
  2. Step 2: Convert to fraction form
    11,808.16/17,712.22 = 8,099.14/x
  3. Step 3: Cross multiply
    11,808.16x = 17,712.22 × 8,099.14
  4. Step 4: Simplify right side
    11,808.16x = 143,453,749.49
  5. Step 5: Solve for x
    x = 143,453,749.49/11,808.16
  6. Step 6: Final answer
    x = 12,148.70

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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.