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Finding the Fourth Proportional to 13,853.79, 19,113.49 and 7,883.97

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Solution

The fourth proportional to 13,853.79, 19,113.49 and 7,883.97 is: 10,877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.79 : 19,113.49 = 7,883.97 : x
  2. Step 2: Convert to fraction form
    13,853.79/19,113.49 = 7,883.97/x
  3. Step 3: Cross multiply
    13,853.79x = 19,113.49 × 7,883.97
  4. Step 4: Simplify right side
    13,853.79x = 150,690,181.76
  5. Step 5: Solve for x
    x = 150,690,181.76/13,853.79
  6. Step 6: Final answer
    x = 10,877.18

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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.