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Finding the Fourth Proportional to 27,943.20, 41,916.78 and 10,413

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Solution

The fourth proportional to 27,943.20, 41,916.78 and 10,413 is: 15,620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,943.20 : 41,916.78 = 10,413 : x
  2. Step 2: Convert to fraction form
    27,943.20/41,916.78 = 10,413/x
  3. Step 3: Cross multiply
    27,943.20x = 41,916.78 × 10,413
  4. Step 4: Simplify right side
    27,943.20x = 436,479,430.14
  5. Step 5: Solve for x
    x = 436,479,430.14/27,943.20
  6. Step 6: Final answer
    x = 15,620.24

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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.