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Finding the Fourth Proportional to 6,997.68, 10,470.96 and 4,214.16

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Solution

The fourth proportional to 6,997.68, 10,470.96 and 4,214.16 is: 6,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.68 : 10,470.96 = 4,214.16 : x
  2. Step 2: Convert to fraction form
    6,997.68/10,470.96 = 4,214.16/x
  3. Step 3: Cross multiply
    6,997.68x = 10,470.96 × 4,214.16
  4. Step 4: Simplify right side
    6,997.68x = 44,126,300.79
  5. Step 5: Solve for x
    x = 44,126,300.79/6,997.68
  6. Step 6: Final answer
    x = 6,305.85

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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.