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Finding the Fourth Proportional to 6,038.71, 8,334.03 and 3,682.24

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Solution

The fourth proportional to 6,038.71, 8,334.03 and 3,682.24 is: 5,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.71 : 8,334.03 = 3,682.24 : x
  2. Step 2: Convert to fraction form
    6,038.71/8,334.03 = 3,682.24/x
  3. Step 3: Cross multiply
    6,038.71x = 8,334.03 × 3,682.24
  4. Step 4: Simplify right side
    6,038.71x = 30,687,898.63
  5. Step 5: Solve for x
    x = 30,687,898.63/6,038.71
  6. Step 6: Final answer
    x = 5,081.86

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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.