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Finding the Fourth Proportional to 11,649.78, 16,077.10 and 6,873

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Solution

The fourth proportional to 11,649.78, 16,077.10 and 6,873 is: 9,484.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.78 : 16,077.10 = 6,873 : x
  2. Step 2: Convert to fraction form
    11,649.78/16,077.10 = 6,873/x
  3. Step 3: Cross multiply
    11,649.78x = 16,077.10 × 6,873
  4. Step 4: Simplify right side
    11,649.78x = 110,497,908.30
  5. Step 5: Solve for x
    x = 110,497,908.30/11,649.78
  6. Step 6: Final answer
    x = 9,484.98

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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.