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Finding the Fourth Proportional to 13,605.25, 18,774.24 and 7,637.83

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Solution

The fourth proportional to 13,605.25, 18,774.24 and 7,637.83 is: 10,539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.25 : 18,774.24 = 7,637.83 : x
  2. Step 2: Convert to fraction form
    13,605.25/18,774.24 = 7,637.83/x
  3. Step 3: Cross multiply
    13,605.25x = 18,774.24 × 7,637.83
  4. Step 4: Simplify right side
    13,605.25x = 143,394,453.50
  5. Step 5: Solve for x
    x = 143,394,453.50/13,605.25
  6. Step 6: Final answer
    x = 10,539.64

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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.