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Finding the Fourth Proportional to 8,097.92, 11,175.36 and 7,804.16

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Solution

The fourth proportional to 8,097.92, 11,175.36 and 7,804.16 is: 10,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.92 : 11,175.36 = 7,804.16 : x
  2. Step 2: Convert to fraction form
    8,097.92/11,175.36 = 7,804.16/x
  3. Step 3: Cross multiply
    8,097.92x = 11,175.36 × 7,804.16
  4. Step 4: Simplify right side
    8,097.92x = 87,214,297.50
  5. Step 5: Solve for x
    x = 87,214,297.50/8,097.92
  6. Step 6: Final answer
    x = 10,769.96

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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.