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Finding the Fourth Proportional to 16,297.63, 24,458.11 and 6,944.20

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Solution

The fourth proportional to 16,297.63, 24,458.11 and 6,944.20 is: 10,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.63 : 24,458.11 = 6,944.20 : x
  2. Step 2: Convert to fraction form
    16,297.63/24,458.11 = 6,944.20/x
  3. Step 3: Cross multiply
    16,297.63x = 24,458.11 × 6,944.20
  4. Step 4: Simplify right side
    16,297.63x = 169,842,007.46
  5. Step 5: Solve for x
    x = 169,842,007.46/16,297.63
  6. Step 6: Final answer
    x = 10,421.27

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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.