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Finding the Fourth Proportional to 12,992.64, 19,491 and 5,599.20

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Solution

The fourth proportional to 12,992.64, 19,491 and 5,599.20 is: 8,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.64 : 19,491 = 5,599.20 : x
  2. Step 2: Convert to fraction form
    12,992.64/19,491 = 5,599.20/x
  3. Step 3: Cross multiply
    12,992.64x = 19,491 × 5,599.20
  4. Step 4: Simplify right side
    12,992.64x = 109,134,007.20
  5. Step 5: Solve for x
    x = 109,134,007.20/12,992.64
  6. Step 6: Final answer
    x = 8,399.68

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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.