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Finding the Fourth Proportional to 9,781.84, 14,671.23 and 3,540.88

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Solution

The fourth proportional to 9,781.84, 14,671.23 and 3,540.88 is: 5,310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.84 : 14,671.23 = 3,540.88 : x
  2. Step 2: Convert to fraction form
    9,781.84/14,671.23 = 3,540.88/x
  3. Step 3: Cross multiply
    9,781.84x = 14,671.23 × 3,540.88
  4. Step 4: Simplify right side
    9,781.84x = 51,949,064.88
  5. Step 5: Solve for x
    x = 51,949,064.88/9,781.84
  6. Step 6: Final answer
    x = 5,310.77

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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.