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Finding the Fourth Proportional to 5,997.12, 8,997.68 and 4,457.44

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Solution

The fourth proportional to 5,997.12, 8,997.68 and 4,457.44 is: 6,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.12 : 8,997.68 = 4,457.44 : x
  2. Step 2: Convert to fraction form
    5,997.12/8,997.68 = 4,457.44/x
  3. Step 3: Cross multiply
    5,997.12x = 8,997.68 × 4,457.44
  4. Step 4: Simplify right side
    5,997.12x = 40,106,618.74
  5. Step 5: Solve for x
    x = 40,106,618.74/5,997.12
  6. Step 6: Final answer
    x = 6,687.65

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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.