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Finding the Fourth Proportional to 9,001.92, 13,483.68 and 6,786.24

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Solution

The fourth proportional to 9,001.92, 13,483.68 and 6,786.24 is: 10,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001.92 : 13,483.68 = 6,786.24 : x
  2. Step 2: Convert to fraction form
    9,001.92/13,483.68 = 6,786.24/x
  3. Step 3: Cross multiply
    9,001.92x = 13,483.68 × 6,786.24
  4. Step 4: Simplify right side
    9,001.92x = 91,503,488.56
  5. Step 5: Solve for x
    x = 91,503,488.56/9,001.92
  6. Step 6: Final answer
    x = 10,164.89

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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.