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Finding the Fourth Proportional to 9,705.99, 13,394.19 and 5,514.24

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Solution

The fourth proportional to 9,705.99, 13,394.19 and 5,514.24 is: 7,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.99 : 13,394.19 = 5,514.24 : x
  2. Step 2: Convert to fraction form
    9,705.99/13,394.19 = 5,514.24/x
  3. Step 3: Cross multiply
    9,705.99x = 13,394.19 × 5,514.24
  4. Step 4: Simplify right side
    9,705.99x = 73,858,778.27
  5. Step 5: Solve for x
    x = 73,858,778.27/9,705.99
  6. Step 6: Final answer
    x = 7,609.61

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Double scale
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Similar ratio
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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.