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Finding the Fourth Proportional to 16,199.60, 24,297.44 and 6,964.40

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Solution

The fourth proportional to 16,199.60, 24,297.44 and 6,964.40 is: 10,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.60 : 24,297.44 = 6,964.40 : x
  2. Step 2: Convert to fraction form
    16,199.60/24,297.44 = 6,964.40/x
  3. Step 3: Cross multiply
    16,199.60x = 24,297.44 × 6,964.40
  4. Step 4: Simplify right side
    16,199.60x = 169,217,091.14
  5. Step 5: Solve for x
    x = 169,217,091.14/16,199.60
  6. Step 6: Final answer
    x = 10,445.76

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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.