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Finding the Fourth Proportional to 6,344.04, 9,502.21 and 3,871.36

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Solution

The fourth proportional to 6,344.04, 9,502.21 and 3,871.36 is: 5,798.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.04 : 9,502.21 = 3,871.36 : x
  2. Step 2: Convert to fraction form
    6,344.04/9,502.21 = 3,871.36/x
  3. Step 3: Cross multiply
    6,344.04x = 9,502.21 × 3,871.36
  4. Step 4: Simplify right side
    6,344.04x = 36,786,475.71
  5. Step 5: Solve for x
    x = 36,786,475.71/6,344.04
  6. Step 6: Final answer
    x = 5,798.59

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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.