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Finding the Fourth Proportional to 24,322.75, 36,484.14 and 7,906.75

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Solution

The fourth proportional to 24,322.75, 36,484.14 and 7,906.75 is: 11,860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,322.75 : 36,484.14 = 7,906.75 : x
  2. Step 2: Convert to fraction form
    24,322.75/36,484.14 = 7,906.75/x
  3. Step 3: Cross multiply
    24,322.75x = 36,484.14 × 7,906.75
  4. Step 4: Simplify right side
    24,322.75x = 288,470,973.95
  5. Step 5: Solve for x
    x = 288,470,973.95/24,322.75
  6. Step 6: Final answer
    x = 11,860.13

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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.