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Finding the Fourth Proportional to 13,297.75, 19,947.59 and 5,089.75

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Solution

The fourth proportional to 13,297.75, 19,947.59 and 5,089.75 is: 7,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.75 : 19,947.59 = 5,089.75 : x
  2. Step 2: Convert to fraction form
    13,297.75/19,947.59 = 5,089.75/x
  3. Step 3: Cross multiply
    13,297.75x = 19,947.59 × 5,089.75
  4. Step 4: Simplify right side
    13,297.75x = 101,528,246.20
  5. Step 5: Solve for x
    x = 101,528,246.20/13,297.75
  6. Step 6: Final answer
    x = 7,634.99

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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.