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Finding the Fourth Proportional to 6,863.86, 9,472.11 and 3,720.10

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Solution

The fourth proportional to 6,863.86, 9,472.11 and 3,720.10 is: 5,133.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.86 : 9,472.11 = 3,720.10 : x
  2. Step 2: Convert to fraction form
    6,863.86/9,472.11 = 3,720.10/x
  3. Step 3: Cross multiply
    6,863.86x = 9,472.11 × 3,720.10
  4. Step 4: Simplify right side
    6,863.86x = 35,237,196.41
  5. Step 5: Solve for x
    x = 35,237,196.41/6,863.86
  6. Step 6: Final answer
    x = 5,133.73

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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.