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Finding the Fourth Proportional to 16,165.84, 24,249.84 and 4,478.08

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Solution

The fourth proportional to 16,165.84, 24,249.84 and 4,478.08 is: 6,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.84 : 24,249.84 = 4,478.08 : x
  2. Step 2: Convert to fraction form
    16,165.84/24,249.84 = 4,478.08/x
  3. Step 3: Cross multiply
    16,165.84x = 24,249.84 × 4,478.08
  4. Step 4: Simplify right side
    16,165.84x = 108,592,723.51
  5. Step 5: Solve for x
    x = 108,592,723.51/16,165.84
  6. Step 6: Final answer
    x = 6,717.42

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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.