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Finding the Fourth Proportional to 24,656.25, 36,965.91 and 8,006.34

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Solution

The fourth proportional to 24,656.25, 36,965.91 and 8,006.34 is: 12,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,656.25 : 36,965.91 = 8,006.34 : x
  2. Step 2: Convert to fraction form
    24,656.25/36,965.91 = 8,006.34/x
  3. Step 3: Cross multiply
    24,656.25x = 36,965.91 × 8,006.34
  4. Step 4: Simplify right side
    24,656.25x = 295,961,643.87
  5. Step 5: Solve for x
    x = 295,961,643.87/24,656.25
  6. Step 6: Final answer
    x = 12,003.51

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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.