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Finding the Fourth Proportional to 8,033.75, 11,995.93 and 7,088.82

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Solution

The fourth proportional to 8,033.75, 11,995.93 and 7,088.82 is: 10,584.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.75 : 11,995.93 = 7,088.82 : x
  2. Step 2: Convert to fraction form
    8,033.75/11,995.93 = 7,088.82/x
  3. Step 3: Cross multiply
    8,033.75x = 11,995.93 × 7,088.82
  4. Step 4: Simplify right side
    8,033.75x = 85,036,928.52
  5. Step 5: Solve for x
    x = 85,036,928.52/8,033.75
  6. Step 6: Final answer
    x = 10,584.97

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.