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Finding the Fourth Proportional to 8,003.94, 12,010.14 and 5,678.97

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Solution

The fourth proportional to 8,003.94, 12,010.14 and 5,678.97 is: 8,521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.94 : 12,010.14 = 5,678.97 : x
  2. Step 2: Convert to fraction form
    8,003.94/12,010.14 = 5,678.97/x
  3. Step 3: Cross multiply
    8,003.94x = 12,010.14 × 5,678.97
  4. Step 4: Simplify right side
    8,003.94x = 68,205,224.76
  5. Step 5: Solve for x
    x = 68,205,224.76/8,003.94
  6. Step 6: Final answer
    x = 8,521.46

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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.