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Finding the Fourth Proportional to 24,914.25, 37,371.51 and 6,446.25

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Solution

The fourth proportional to 24,914.25, 37,371.51 and 6,446.25 is: 9,669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,914.25 : 37,371.51 = 6,446.25 : x
  2. Step 2: Convert to fraction form
    24,914.25/37,371.51 = 6,446.25/x
  3. Step 3: Cross multiply
    24,914.25x = 37,371.51 × 6,446.25
  4. Step 4: Simplify right side
    24,914.25x = 240,906,096.34
  5. Step 5: Solve for x
    x = 240,906,096.34/24,914.25
  6. Step 6: Final answer
    x = 9,669.41

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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.