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Finding the Fourth Proportional to 10,853.68, 14,992.14 and 8,026.84

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Solution

The fourth proportional to 10,853.68, 14,992.14 and 8,026.84 is: 11,087.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.68 : 14,992.14 = 8,026.84 : x
  2. Step 2: Convert to fraction form
    10,853.68/14,992.14 = 8,026.84/x
  3. Step 3: Cross multiply
    10,853.68x = 14,992.14 × 8,026.84
  4. Step 4: Simplify right side
    10,853.68x = 120,339,509.04
  5. Step 5: Solve for x
    x = 120,339,509.04/10,853.68
  6. Step 6: Final answer
    x = 11,087.44

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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.