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Finding the Fourth Proportional to 15,832.83, 23,755.78 and 6,943.55

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Solution

The fourth proportional to 15,832.83, 23,755.78 and 6,943.55 is: 10,418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.83 : 23,755.78 = 6,943.55 : x
  2. Step 2: Convert to fraction form
    15,832.83/23,755.78 = 6,943.55/x
  3. Step 3: Cross multiply
    15,832.83x = 23,755.78 × 6,943.55
  4. Step 4: Simplify right side
    15,832.83x = 164,949,411.50
  5. Step 5: Solve for x
    x = 164,949,411.50/15,832.83
  6. Step 6: Final answer
    x = 10,418.19

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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.