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Finding the Fourth Proportional to 5,997.72, 8,967 and 5,083.50

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Solution

The fourth proportional to 5,997.72, 8,967 and 5,083.50 is: 7,600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.72 : 8,967 = 5,083.50 : x
  2. Step 2: Convert to fraction form
    5,997.72/8,967 = 5,083.50/x
  3. Step 3: Cross multiply
    5,997.72x = 8,967 × 5,083.50
  4. Step 4: Simplify right side
    5,997.72x = 45,583,744.50
  5. Step 5: Solve for x
    x = 45,583,744.50/5,997.72
  6. Step 6: Final answer
    x = 7,600.18

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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.