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Finding the Fourth Proportional to 10,634.54, 14,676.03 and 5,919.14

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Solution

The fourth proportional to 10,634.54, 14,676.03 and 5,919.14 is: 8,168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.54 : 14,676.03 = 5,919.14 : x
  2. Step 2: Convert to fraction form
    10,634.54/14,676.03 = 5,919.14/x
  3. Step 3: Cross multiply
    10,634.54x = 14,676.03 × 5,919.14
  4. Step 4: Simplify right side
    10,634.54x = 86,869,476.21
  5. Step 5: Solve for x
    x = 86,869,476.21/10,634.54
  6. Step 6: Final answer
    x = 8,168.62

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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.