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Finding the Fourth Proportional to 6,334.02, 9,502.65 and 2,635.02

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Solution

The fourth proportional to 6,334.02, 9,502.65 and 2,635.02 is: 3,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.02 : 9,502.65 = 2,635.02 : x
  2. Step 2: Convert to fraction form
    6,334.02/9,502.65 = 2,635.02/x
  3. Step 3: Cross multiply
    6,334.02x = 9,502.65 × 2,635.02
  4. Step 4: Simplify right side
    6,334.02x = 25,039,672.80
  5. Step 5: Solve for x
    x = 25,039,672.80/6,334.02
  6. Step 6: Final answer
    x = 3,953.20

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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.