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Finding the Fourth Proportional to 8,009.82, 11,993.70 and 5,657.10

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Solution

The fourth proportional to 8,009.82, 11,993.70 and 5,657.10 is: 8,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.82 : 11,993.70 = 5,657.10 : x
  2. Step 2: Convert to fraction form
    8,009.82/11,993.70 = 5,657.10/x
  3. Step 3: Cross multiply
    8,009.82x = 11,993.70 × 5,657.10
  4. Step 4: Simplify right side
    8,009.82x = 67,849,560.27
  5. Step 5: Solve for x
    x = 67,849,560.27/8,009.82
  6. Step 6: Final answer
    x = 8,470.80

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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.