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Finding the Fourth Proportional to 11,648.14, 16,074.43 and 6,343

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Solution

The fourth proportional to 11,648.14, 16,074.43 and 6,343 is: 8,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.14 : 16,074.43 = 6,343 : x
  2. Step 2: Convert to fraction form
    11,648.14/16,074.43 = 6,343/x
  3. Step 3: Cross multiply
    11,648.14x = 16,074.43 × 6,343
  4. Step 4: Simplify right side
    11,648.14x = 101,960,109.49
  5. Step 5: Solve for x
    x = 101,960,109.49/11,648.14
  6. Step 6: Final answer
    x = 8,753.34

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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.