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Finding the Fourth Proportional to 13,874.10, 19,146.36 and 7,824.42

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Solution

The fourth proportional to 13,874.10, 19,146.36 and 7,824.42 is: 10,797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.10 : 19,146.36 = 7,824.42 : x
  2. Step 2: Convert to fraction form
    13,874.10/19,146.36 = 7,824.42/x
  3. Step 3: Cross multiply
    13,874.10x = 19,146.36 × 7,824.42
  4. Step 4: Simplify right side
    13,874.10x = 149,809,162.11
  5. Step 5: Solve for x
    x = 149,809,162.11/13,874.10
  6. Step 6: Final answer
    x = 10,797.76

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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.