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Finding the Fourth Proportional to 16,289, 24,419.02 and 5,898.44

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Solution

The fourth proportional to 16,289, 24,419.02 and 5,898.44 is: 8,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289 : 24,419.02 = 5,898.44 : x
  2. Step 2: Convert to fraction form
    16,289/24,419.02 = 5,898.44/x
  3. Step 3: Cross multiply
    16,289x = 24,419.02 × 5,898.44
  4. Step 4: Simplify right side
    16,289x = 144,034,124.33
  5. Step 5: Solve for x
    x = 144,034,124.33/16,289
  6. Step 6: Final answer
    x = 8,842.42

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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.