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Finding the Fourth Proportional to 11,764.92, 17,645.70 and 2,999.10

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Solution

The fourth proportional to 11,764.92, 17,645.70 and 2,999.10 is: 4,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.92 : 17,645.70 = 2,999.10 : x
  2. Step 2: Convert to fraction form
    11,764.92/17,645.70 = 2,999.10/x
  3. Step 3: Cross multiply
    11,764.92x = 17,645.70 × 2,999.10
  4. Step 4: Simplify right side
    11,764.92x = 52,921,218.87
  5. Step 5: Solve for x
    x = 52,921,218.87/11,764.92
  6. Step 6: Final answer
    x = 4,498.22

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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.