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Finding the Fourth Proportional to 13,219.93, 19,824.07 and 6,194.29

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Solution

The fourth proportional to 13,219.93, 19,824.07 and 6,194.29 is: 9,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.93 : 19,824.07 = 6,194.29 : x
  2. Step 2: Convert to fraction form
    13,219.93/19,824.07 = 6,194.29/x
  3. Step 3: Cross multiply
    13,219.93x = 19,824.07 × 6,194.29
  4. Step 4: Simplify right side
    13,219.93x = 122,795,908.47
  5. Step 5: Solve for x
    x = 122,795,908.47/13,219.93
  6. Step 6: Final answer
    x = 9,288.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.