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Finding the Fourth Proportional to 13,818.56, 19,069.17 and 7,851.56

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Solution

The fourth proportional to 13,818.56, 19,069.17 and 7,851.56 is: 10,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.56 : 19,069.17 = 7,851.56 : x
  2. Step 2: Convert to fraction form
    13,818.56/19,069.17 = 7,851.56/x
  3. Step 3: Cross multiply
    13,818.56x = 19,069.17 × 7,851.56
  4. Step 4: Simplify right side
    13,818.56x = 149,722,732.41
  5. Step 5: Solve for x
    x = 149,722,732.41/13,818.56
  6. Step 6: Final answer
    x = 10,834.90

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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.