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Finding the Fourth Proportional to 13,772.72, 19,006.03 and 7,722.56

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Solution

The fourth proportional to 13,772.72, 19,006.03 and 7,722.56 is: 10,656.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.72 : 19,006.03 = 7,722.56 : x
  2. Step 2: Convert to fraction form
    13,772.72/19,006.03 = 7,722.56/x
  3. Step 3: Cross multiply
    13,772.72x = 19,006.03 × 7,722.56
  4. Step 4: Simplify right side
    13,772.72x = 146,775,207.04
  5. Step 5: Solve for x
    x = 146,775,207.04/13,772.72
  6. Step 6: Final answer
    x = 10,656.95

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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.