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Finding the Fourth Proportional to 17,548.52, 26,307.86 and 7,680.42

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Solution

The fourth proportional to 17,548.52, 26,307.86 and 7,680.42 is: 11,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,548.52 : 26,307.86 = 7,680.42 : x
  2. Step 2: Convert to fraction form
    17,548.52/26,307.86 = 7,680.42/x
  3. Step 3: Cross multiply
    17,548.52x = 26,307.86 × 7,680.42
  4. Step 4: Simplify right side
    17,548.52x = 202,055,375.70
  5. Step 5: Solve for x
    x = 202,055,375.70/17,548.52
  6. Step 6: Final answer
    x = 11,514.10

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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.