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Finding the Fourth Proportional to 16,324.05, 24,487.84 and 6,965.06

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Solution

The fourth proportional to 16,324.05, 24,487.84 and 6,965.06 is: 10,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,324.05 : 24,487.84 = 6,965.06 : x
  2. Step 2: Convert to fraction form
    16,324.05/24,487.84 = 6,965.06/x
  3. Step 3: Cross multiply
    16,324.05x = 24,487.84 × 6,965.06
  4. Step 4: Simplify right side
    16,324.05x = 170,559,274.87
  5. Step 5: Solve for x
    x = 170,559,274.87/16,324.05
  6. Step 6: Final answer
    x = 10,448.34

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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.