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Finding the Fourth Proportional to 11,749.01, 16,214.04 and 6,443.84

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Solution

The fourth proportional to 11,749.01, 16,214.04 and 6,443.84 is: 8,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.01 : 16,214.04 = 6,443.84 : x
  2. Step 2: Convert to fraction form
    11,749.01/16,214.04 = 6,443.84/x
  3. Step 3: Cross multiply
    11,749.01x = 16,214.04 × 6,443.84
  4. Step 4: Simplify right side
    11,749.01x = 104,480,720.05
  5. Step 5: Solve for x
    x = 104,480,720.05/11,749.01
  6. Step 6: Final answer
    x = 8,892.73

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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.