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Finding the Fourth Proportional to 10,083.84, 13,914.84 and 5,892.48

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Solution

The fourth proportional to 10,083.84, 13,914.84 and 5,892.48 is: 8,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.84 : 13,914.84 = 5,892.48 : x
  2. Step 2: Convert to fraction form
    10,083.84/13,914.84 = 5,892.48/x
  3. Step 3: Cross multiply
    10,083.84x = 13,914.84 × 5,892.48
  4. Step 4: Simplify right side
    10,083.84x = 81,992,916.40
  5. Step 5: Solve for x
    x = 81,992,916.40/10,083.84
  6. Step 6: Final answer
    x = 8,131.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.