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Finding the Fourth Proportional to 11,677.78, 16,115.28 and 6,709.78

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Solution

The fourth proportional to 11,677.78, 16,115.28 and 6,709.78 is: 9,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.78 : 16,115.28 = 6,709.78 : x
  2. Step 2: Convert to fraction form
    11,677.78/16,115.28 = 6,709.78/x
  3. Step 3: Cross multiply
    11,677.78x = 16,115.28 × 6,709.78
  4. Step 4: Simplify right side
    11,677.78x = 108,129,983.44
  5. Step 5: Solve for x
    x = 108,129,983.44/11,677.78
  6. Step 6: Final answer
    x = 9,259.46

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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.