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Finding the Fourth Proportional to 12,863.84, 19,282.67 and 5,848.84

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Solution

The fourth proportional to 12,863.84, 19,282.67 and 5,848.84 is: 8,767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.84 : 19,282.67 = 5,848.84 : x
  2. Step 2: Convert to fraction form
    12,863.84/19,282.67 = 5,848.84/x
  3. Step 3: Cross multiply
    12,863.84x = 19,282.67 × 5,848.84
  4. Step 4: Simplify right side
    12,863.84x = 112,781,196.09
  5. Step 5: Solve for x
    x = 112,781,196.09/12,863.84
  6. Step 6: Final answer
    x = 8,767.30

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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.