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Finding the Fourth Proportional to 24,897.69, 37,334.43 and 8,252.10

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Solution

The fourth proportional to 24,897.69, 37,334.43 and 8,252.10 is: 12,374.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,897.69 : 37,334.43 = 8,252.10 : x
  2. Step 2: Convert to fraction form
    24,897.69/37,334.43 = 8,252.10/x
  3. Step 3: Cross multiply
    24,897.69x = 37,334.43 × 8,252.10
  4. Step 4: Simplify right side
    24,897.69x = 308,087,449.80
  5. Step 5: Solve for x
    x = 308,087,449.80/24,897.69
  6. Step 6: Final answer
    x = 12,374.14

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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.