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Finding the Fourth Proportional to 13,993.64, 20,990.44 and 9,597.77

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Solution

The fourth proportional to 13,993.64, 20,990.44 and 9,597.77 is: 14,396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.64 : 20,990.44 = 9,597.77 : x
  2. Step 2: Convert to fraction form
    13,993.64/20,990.44 = 9,597.77/x
  3. Step 3: Cross multiply
    13,993.64x = 20,990.44 × 9,597.77
  4. Step 4: Simplify right side
    13,993.64x = 201,461,415.32
  5. Step 5: Solve for x
    x = 201,461,415.32/13,993.64
  6. Step 6: Final answer
    x = 14,396.64

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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.