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Finding the Fourth Proportional to 6,173.32, 8,520.76 and 3,814.10

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Solution

The fourth proportional to 6,173.32, 8,520.76 and 3,814.10 is: 5,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.32 : 8,520.76 = 3,814.10 : x
  2. Step 2: Convert to fraction form
    6,173.32/8,520.76 = 3,814.10/x
  3. Step 3: Cross multiply
    6,173.32x = 8,520.76 × 3,814.10
  4. Step 4: Simplify right side
    6,173.32x = 32,499,030.72
  5. Step 5: Solve for x
    x = 32,499,030.72/6,173.32
  6. Step 6: Final answer
    x = 5,264.43

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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.