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Finding the Fourth Proportional to 11,881.32, 16,394.04 and 6,844.83

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Solution

The fourth proportional to 11,881.32, 16,394.04 and 6,844.83 is: 9,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.32 : 16,394.04 = 6,844.83 : x
  2. Step 2: Convert to fraction form
    11,881.32/16,394.04 = 6,844.83/x
  3. Step 3: Cross multiply
    11,881.32x = 16,394.04 × 6,844.83
  4. Step 4: Simplify right side
    11,881.32x = 112,214,416.81
  5. Step 5: Solve for x
    x = 112,214,416.81/11,881.32
  6. Step 6: Final answer
    x = 9,444.61

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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.