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Finding the Fourth Proportional to 4,997.20, 7,457.06 and 4,133.20

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Solution

The fourth proportional to 4,997.20, 7,457.06 and 4,133.20 is: 6,167.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.20 : 7,457.06 = 4,133.20 : x
  2. Step 2: Convert to fraction form
    4,997.20/7,457.06 = 4,133.20/x
  3. Step 3: Cross multiply
    4,997.20x = 7,457.06 × 4,133.20
  4. Step 4: Simplify right side
    4,997.20x = 30,821,520.39
  5. Step 5: Solve for x
    x = 30,821,520.39/4,997.20
  6. Step 6: Final answer
    x = 6,167.76

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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.