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Finding the Fourth Proportional to 13,993.52, 20,990.25 and 9,597.65

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Solution

The fourth proportional to 13,993.52, 20,990.25 and 9,597.65 is: 14,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.52 : 20,990.25 = 9,597.65 : x
  2. Step 2: Convert to fraction form
    13,993.52/20,990.25 = 9,597.65/x
  3. Step 3: Cross multiply
    13,993.52x = 20,990.25 × 9,597.65
  4. Step 4: Simplify right side
    13,993.52x = 201,456,967.96
  5. Step 5: Solve for x
    x = 201,456,967.96/13,993.52
  6. Step 6: Final answer
    x = 14,396.45

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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.