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Finding the Fourth Proportional to 27,943.25, 41,916.87 and 10,413

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Solution

The fourth proportional to 27,943.25, 41,916.87 and 10,413 is: 15,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,943.25 : 41,916.87 = 10,413 : x
  2. Step 2: Convert to fraction form
    27,943.25/41,916.87 = 10,413/x
  3. Step 3: Cross multiply
    27,943.25x = 41,916.87 × 10,413
  4. Step 4: Simplify right side
    27,943.25x = 436,480,367.31
  5. Step 5: Solve for x
    x = 436,480,367.31/27,943.25
  6. Step 6: Final answer
    x = 15,620.25

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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.