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Finding the Fourth Proportional to 8,020.19, 12,006.82 and 4,678.22

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Solution

The fourth proportional to 8,020.19, 12,006.82 and 4,678.22 is: 7,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.19 : 12,006.82 = 4,678.22 : x
  2. Step 2: Convert to fraction form
    8,020.19/12,006.82 = 4,678.22/x
  3. Step 3: Cross multiply
    8,020.19x = 12,006.82 × 4,678.22
  4. Step 4: Simplify right side
    8,020.19x = 56,170,473.73
  5. Step 5: Solve for x
    x = 56,170,473.73/8,020.19
  6. Step 6: Final answer
    x = 7,003.64

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Double scale
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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.