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Finding the Fourth Proportional to 16,323.05, 24,486.34 and 6,964.06

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Solution

The fourth proportional to 16,323.05, 24,486.34 and 6,964.06 is: 10,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,323.05 : 24,486.34 = 6,964.06 : x
  2. Step 2: Convert to fraction form
    16,323.05/24,486.34 = 6,964.06/x
  3. Step 3: Cross multiply
    16,323.05x = 24,486.34 × 6,964.06
  4. Step 4: Simplify right side
    16,323.05x = 170,524,340.87
  5. Step 5: Solve for x
    x = 170,524,340.87/16,323.05
  6. Step 6: Final answer
    x = 10,446.84

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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.