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Finding the Fourth Proportional to 7,883.84, 11,824.44 and 2,885.18

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Solution

The fourth proportional to 7,883.84, 11,824.44 and 2,885.18 is: 4,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.84 : 11,824.44 = 2,885.18 : x
  2. Step 2: Convert to fraction form
    7,883.84/11,824.44 = 2,885.18/x
  3. Step 3: Cross multiply
    7,883.84x = 11,824.44 × 2,885.18
  4. Step 4: Simplify right side
    7,883.84x = 34,115,637.80
  5. Step 5: Solve for x
    x = 34,115,637.80/7,883.84
  6. Step 6: Final answer
    x = 4,327.29

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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.