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Finding the Fourth Proportional to 8,034.87, 11,997.63 and 7,089.93

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Solution

The fourth proportional to 8,034.87, 11,997.63 and 7,089.93 is: 10,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.87 : 11,997.63 = 7,089.93 : x
  2. Step 2: Convert to fraction form
    8,034.87/11,997.63 = 7,089.93/x
  3. Step 3: Cross multiply
    8,034.87x = 11,997.63 × 7,089.93
  4. Step 4: Simplify right side
    8,034.87x = 85,062,356.87
  5. Step 5: Solve for x
    x = 85,062,356.87/8,034.87
  6. Step 6: Final answer
    x = 10,586.65

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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.