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Finding the Fourth Proportional to 16,491.32, 24,745.10 and 7,724.72

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Solution

The fourth proportional to 16,491.32, 24,745.10 and 7,724.72 is: 11,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,491.32 : 24,745.10 = 7,724.72 : x
  2. Step 2: Convert to fraction form
    16,491.32/24,745.10 = 7,724.72/x
  3. Step 3: Cross multiply
    16,491.32x = 24,745.10 × 7,724.72
  4. Step 4: Simplify right side
    16,491.32x = 191,148,968.87
  5. Step 5: Solve for x
    x = 191,148,968.87/16,491.32
  6. Step 6: Final answer
    x = 11,590.88

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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.