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Finding the Fourth Proportional to 9,406.48, 14,103.82 and 6,481.48

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Solution

The fourth proportional to 9,406.48, 14,103.82 and 6,481.48 is: 9,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.48 : 14,103.82 = 6,481.48 : x
  2. Step 2: Convert to fraction form
    9,406.48/14,103.82 = 6,481.48/x
  3. Step 3: Cross multiply
    9,406.48x = 14,103.82 × 6,481.48
  4. Step 4: Simplify right side
    9,406.48x = 91,413,627.25
  5. Step 5: Solve for x
    x = 91,413,627.25/9,406.48
  6. Step 6: Final answer
    x = 9,718.15

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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.