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Finding the Fourth Proportional to 24,601.84, 36,908.98 and 7,071.68

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Solution

The fourth proportional to 24,601.84, 36,908.98 and 7,071.68 is: 10,609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,601.84 : 36,908.98 = 7,071.68 : x
  2. Step 2: Convert to fraction form
    24,601.84/36,908.98 = 7,071.68/x
  3. Step 3: Cross multiply
    24,601.84x = 36,908.98 × 7,071.68
  4. Step 4: Simplify right side
    24,601.84x = 261,008,495.69
  5. Step 5: Solve for x
    x = 261,008,495.69/24,601.84
  6. Step 6: Final answer
    x = 10,609.31

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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.