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Finding the Fourth Proportional to 16,793, 23,174.74 and 9,239.74

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Solution

The fourth proportional to 16,793, 23,174.74 and 9,239.74 is: 12,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,793 : 23,174.74 = 9,239.74 : x
  2. Step 2: Convert to fraction form
    16,793/23,174.74 = 9,239.74/x
  3. Step 3: Cross multiply
    16,793x = 23,174.74 × 9,239.74
  4. Step 4: Simplify right side
    16,793x = 214,128,572.17
  5. Step 5: Solve for x
    x = 214,128,572.17/16,793
  6. Step 6: Final answer
    x = 12,751.06

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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.