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Finding the Fourth Proportional to 6,297.68, 8,688.68 and 3,644.12

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Solution

The fourth proportional to 6,297.68, 8,688.68 and 3,644.12 is: 5,027.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.68 : 8,688.68 = 3,644.12 : x
  2. Step 2: Convert to fraction form
    6,297.68/8,688.68 = 3,644.12/x
  3. Step 3: Cross multiply
    6,297.68x = 8,688.68 × 3,644.12
  4. Step 4: Simplify right side
    6,297.68x = 31,662,592.56
  5. Step 5: Solve for x
    x = 31,662,592.56/6,297.68
  6. Step 6: Final answer
    x = 5,027.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.