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Finding the Fourth Proportional to 24,839.09, 37,263.24 and 8,200.28

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Solution

The fourth proportional to 24,839.09, 37,263.24 and 8,200.28 is: 12,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,839.09 : 37,263.24 = 8,200.28 : x
  2. Step 2: Convert to fraction form
    24,839.09/37,263.24 = 8,200.28/x
  3. Step 3: Cross multiply
    24,839.09x = 37,263.24 × 8,200.28
  4. Step 4: Simplify right side
    24,839.09x = 305,569,001.71
  5. Step 5: Solve for x
    x = 305,569,001.71/24,839.09
  6. Step 6: Final answer
    x = 12,301.94

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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.