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Finding the Fourth Proportional to 6,381.68, 9,552.03 and 3,412.70

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Solution

The fourth proportional to 6,381.68, 9,552.03 and 3,412.70 is: 5,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.68 : 9,552.03 = 3,412.70 : x
  2. Step 2: Convert to fraction form
    6,381.68/9,552.03 = 3,412.70/x
  3. Step 3: Cross multiply
    6,381.68x = 9,552.03 × 3,412.70
  4. Step 4: Simplify right side
    6,381.68x = 32,598,165.02
  5. Step 5: Solve for x
    x = 32,598,165.02/6,381.68
  6. Step 6: Final answer
    x = 5,108.09

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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.