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Finding the Fourth Proportional to 12,812.78, 19,219.17 and 3,578.78

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Solution

The fourth proportional to 12,812.78, 19,219.17 and 3,578.78 is: 5,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.78 : 19,219.17 = 3,578.78 : x
  2. Step 2: Convert to fraction form
    12,812.78/19,219.17 = 3,578.78/x
  3. Step 3: Cross multiply
    12,812.78x = 19,219.17 × 3,578.78
  4. Step 4: Simplify right side
    12,812.78x = 68,781,181.21
  5. Step 5: Solve for x
    x = 68,781,181.21/12,812.78
  6. Step 6: Final answer
    x = 5,368.17

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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.