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Finding the Fourth Proportional to 9,747.36, 14,599.17 and 9,419.31

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Solution

The fourth proportional to 9,747.36, 14,599.17 and 9,419.31 is: 14,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.36 : 14,599.17 = 9,419.31 : x
  2. Step 2: Convert to fraction form
    9,747.36/14,599.17 = 9,419.31/x
  3. Step 3: Cross multiply
    9,747.36x = 14,599.17 × 9,419.31
  4. Step 4: Simplify right side
    9,747.36x = 137,514,107.97
  5. Step 5: Solve for x
    x = 137,514,107.97/9,747.36
  6. Step 6: Final answer
    x = 14,107.83

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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.