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Finding the Fourth Proportional to 16,083.48, 24,125.22 and 6,843

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Solution

The fourth proportional to 16,083.48, 24,125.22 and 6,843 is: 10,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.48 : 24,125.22 = 6,843 : x
  2. Step 2: Convert to fraction form
    16,083.48/24,125.22 = 6,843/x
  3. Step 3: Cross multiply
    16,083.48x = 24,125.22 × 6,843
  4. Step 4: Simplify right side
    16,083.48x = 165,088,880.46
  5. Step 5: Solve for x
    x = 165,088,880.46/16,083.48
  6. Step 6: Final answer
    x = 10,264.50

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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.