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Finding the Fourth Proportional to 11,842.92, 16,343.76 and 6,808.76

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Solution

The fourth proportional to 11,842.92, 16,343.76 and 6,808.76 is: 9,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.92 : 16,343.76 = 6,808.76 : x
  2. Step 2: Convert to fraction form
    11,842.92/16,343.76 = 6,808.76/x
  3. Step 3: Cross multiply
    11,842.92x = 16,343.76 × 6,808.76
  4. Step 4: Simplify right side
    11,842.92x = 111,280,739.34
  5. Step 5: Solve for x
    x = 111,280,739.34/11,842.92
  6. Step 6: Final answer
    x = 9,396.39

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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.