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Finding the Fourth Proportional to 24,677.25, 37,015.88 and 8,261.25

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Solution

The fourth proportional to 24,677.25, 37,015.88 and 8,261.25 is: 12,391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,677.25 : 37,015.88 = 8,261.25 : x
  2. Step 2: Convert to fraction form
    24,677.25/37,015.88 = 8,261.25/x
  3. Step 3: Cross multiply
    24,677.25x = 37,015.88 × 8,261.25
  4. Step 4: Simplify right side
    24,677.25x = 305,797,397.34
  5. Step 5: Solve for x
    x = 305,797,397.34/24,677.25
  6. Step 6: Final answer
    x = 12,391.88

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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.