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Finding the Fourth Proportional to 24,664.68, 36,991.62 and 7,130.70

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Solution

The fourth proportional to 24,664.68, 36,991.62 and 7,130.70 is: 10,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,664.68 : 36,991.62 = 7,130.70 : x
  2. Step 2: Convert to fraction form
    24,664.68/36,991.62 = 7,130.70/x
  3. Step 3: Cross multiply
    24,664.68x = 36,991.62 × 7,130.70
  4. Step 4: Simplify right side
    24,664.68x = 263,776,144.73
  5. Step 5: Solve for x
    x = 263,776,144.73/24,664.68
  6. Step 6: Final answer
    x = 10,694.49

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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.