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Finding the Fourth Proportional to 16,658.54, 22,984.99 and 9,946.34

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Solution

The fourth proportional to 16,658.54, 22,984.99 and 9,946.34 is: 13,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,658.54 : 22,984.99 = 9,946.34 : x
  2. Step 2: Convert to fraction form
    16,658.54/22,984.99 = 9,946.34/x
  3. Step 3: Cross multiply
    16,658.54x = 22,984.99 × 9,946.34
  4. Step 4: Simplify right side
    16,658.54x = 228,616,385.65
  5. Step 5: Solve for x
    x = 228,616,385.65/16,658.54
  6. Step 6: Final answer
    x = 13,723.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.