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Finding the Fourth Proportional to 13,843.71, 19,102.53 and 7,793.19

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Solution

The fourth proportional to 13,843.71, 19,102.53 and 7,793.19 is: 10,753.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.71 : 19,102.53 = 7,793.19 : x
  2. Step 2: Convert to fraction form
    13,843.71/19,102.53 = 7,793.19/x
  3. Step 3: Cross multiply
    13,843.71x = 19,102.53 × 7,793.19
  4. Step 4: Simplify right side
    13,843.71x = 148,869,621.27
  5. Step 5: Solve for x
    x = 148,869,621.27/13,843.71
  6. Step 6: Final answer
    x = 10,753.59

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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.