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Finding the Fourth Proportional to 9,706.19, 13,394.46 and 5,514.44

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Solution

The fourth proportional to 9,706.19, 13,394.46 and 5,514.44 is: 7,609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.19 : 13,394.46 = 5,514.44 : x
  2. Step 2: Convert to fraction form
    9,706.19/13,394.46 = 5,514.44/x
  3. Step 3: Cross multiply
    9,706.19x = 13,394.46 × 5,514.44
  4. Step 4: Simplify right side
    9,706.19x = 73,862,879.03
  5. Step 5: Solve for x
    x = 73,862,879.03/9,706.19
  6. Step 6: Final answer
    x = 7,609.88

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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.