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Finding the Fourth Proportional to 9,514.56, 14,251.07 and 5,805.54

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Solution

The fourth proportional to 9,514.56, 14,251.07 and 5,805.54 is: 8,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.56 : 14,251.07 = 5,805.54 : x
  2. Step 2: Convert to fraction form
    9,514.56/14,251.07 = 5,805.54/x
  3. Step 3: Cross multiply
    9,514.56x = 14,251.07 × 5,805.54
  4. Step 4: Simplify right side
    9,514.56x = 82,735,127.90
  5. Step 5: Solve for x
    x = 82,735,127.90/9,514.56
  6. Step 6: Final answer
    x = 8,695.63

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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.