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Finding the Fourth Proportional to 11,442.80, 17,151.40 and 6,514.80

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Solution

The fourth proportional to 11,442.80, 17,151.40 and 6,514.80 is: 9,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.80 : 17,151.40 = 6,514.80 : x
  2. Step 2: Convert to fraction form
    11,442.80/17,151.40 = 6,514.80/x
  3. Step 3: Cross multiply
    11,442.80x = 17,151.40 × 6,514.80
  4. Step 4: Simplify right side
    11,442.80x = 111,737,940.72
  5. Step 5: Solve for x
    x = 111,737,940.72/11,442.80
  6. Step 6: Final answer
    x = 9,764.91

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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.