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Finding the Fourth Proportional to 5,997.65, 8,996.63 and 2,102.09

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Solution

The fourth proportional to 5,997.65, 8,996.63 and 2,102.09 is: 3,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.65 : 8,996.63 = 2,102.09 : x
  2. Step 2: Convert to fraction form
    5,997.65/8,996.63 = 2,102.09/x
  3. Step 3: Cross multiply
    5,997.65x = 8,996.63 × 2,102.09
  4. Step 4: Simplify right side
    5,997.65x = 18,911,670.46
  5. Step 5: Solve for x
    x = 18,911,670.46/5,997.65
  6. Step 6: Final answer
    x = 3,153.18

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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.