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Finding the Fourth Proportional to 9,653.66, 14,481.68 and 3,412.38

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Solution

The fourth proportional to 9,653.66, 14,481.68 and 3,412.38 is: 5,118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.66 : 14,481.68 = 3,412.38 : x
  2. Step 2: Convert to fraction form
    9,653.66/14,481.68 = 3,412.38/x
  3. Step 3: Cross multiply
    9,653.66x = 14,481.68 × 3,412.38
  4. Step 4: Simplify right side
    9,653.66x = 49,416,978.14
  5. Step 5: Solve for x
    x = 49,416,978.14/9,653.66
  6. Step 6: Final answer
    x = 5,118.99

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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.