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Finding the Fourth Proportional to 13,909.28, 19,194 and 7,620.56

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Solution

The fourth proportional to 13,909.28, 19,194 and 7,620.56 is: 10,515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.28 : 19,194 = 7,620.56 : x
  2. Step 2: Convert to fraction form
    13,909.28/19,194 = 7,620.56/x
  3. Step 3: Cross multiply
    13,909.28x = 19,194 × 7,620.56
  4. Step 4: Simplify right side
    13,909.28x = 146,269,028.64
  5. Step 5: Solve for x
    x = 146,269,028.64/13,909.28
  6. Step 6: Final answer
    x = 10,515.93

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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.