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Finding the Fourth Proportional to 10,664.96, 15,992.16 and 3,267.63

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Solution

The fourth proportional to 10,664.96, 15,992.16 and 3,267.63 is: 4,899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.96 : 15,992.16 = 3,267.63 : x
  2. Step 2: Convert to fraction form
    10,664.96/15,992.16 = 3,267.63/x
  3. Step 3: Cross multiply
    10,664.96x = 15,992.16 × 3,267.63
  4. Step 4: Simplify right side
    10,664.96x = 52,256,461.78
  5. Step 5: Solve for x
    x = 52,256,461.78/10,664.96
  6. Step 6: Final answer
    x = 4,899.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.