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Finding the Fourth Proportional to 13,774.71, 20,659.14 and 4,412.22

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Solution

The fourth proportional to 13,774.71, 20,659.14 and 4,412.22 is: 6,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.71 : 20,659.14 = 4,412.22 : x
  2. Step 2: Convert to fraction form
    13,774.71/20,659.14 = 4,412.22/x
  3. Step 3: Cross multiply
    13,774.71x = 20,659.14 × 4,412.22
  4. Step 4: Simplify right side
    13,774.71x = 91,152,663.73
  5. Step 5: Solve for x
    x = 91,152,663.73/13,774.71
  6. Step 6: Final answer
    x = 6,617.39

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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.