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Finding the Fourth Proportional to 24,607.75, 36,911.63 and 7,981.69

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Solution

The fourth proportional to 24,607.75, 36,911.63 and 7,981.69 is: 11,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,607.75 : 36,911.63 = 7,981.69 : x
  2. Step 2: Convert to fraction form
    24,607.75/36,911.63 = 7,981.69/x
  3. Step 3: Cross multiply
    24,607.75x = 36,911.63 × 7,981.69
  4. Step 4: Simplify right side
    24,607.75x = 294,617,148.15
  5. Step 5: Solve for x
    x = 294,617,148.15/24,607.75
  6. Step 6: Final answer
    x = 11,972.54

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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.