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Finding the Fourth Proportional to 5,997.84, 8,997.68 and 2,048.16

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Solution

The fourth proportional to 5,997.84, 8,997.68 and 2,048.16 is: 3,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.84 : 8,997.68 = 2,048.16 : x
  2. Step 2: Convert to fraction form
    5,997.84/8,997.68 = 2,048.16/x
  3. Step 3: Cross multiply
    5,997.84x = 8,997.68 × 2,048.16
  4. Step 4: Simplify right side
    5,997.84x = 18,428,688.27
  5. Step 5: Solve for x
    x = 18,428,688.27/5,997.84
  6. Step 6: Final answer
    x = 3,072.55

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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.