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Finding the Fourth Proportional to 16,148.54, 24,222.54 and 7,829.27

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Solution

The fourth proportional to 16,148.54, 24,222.54 and 7,829.27 is: 11,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.54 : 24,222.54 = 7,829.27 : x
  2. Step 2: Convert to fraction form
    16,148.54/24,222.54 = 7,829.27/x
  3. Step 3: Cross multiply
    16,148.54x = 24,222.54 × 7,829.27
  4. Step 4: Simplify right side
    16,148.54x = 189,644,805.75
  5. Step 5: Solve for x
    x = 189,644,805.75/16,148.54
  6. Step 6: Final answer
    x = 11,743.77

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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.