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Finding the Fourth Proportional to 6,274.02, 8,647.65 and 4,761.12

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Solution

The fourth proportional to 6,274.02, 8,647.65 and 4,761.12 is: 6,562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.02 : 8,647.65 = 4,761.12 : x
  2. Step 2: Convert to fraction form
    6,274.02/8,647.65 = 4,761.12/x
  3. Step 3: Cross multiply
    6,274.02x = 8,647.65 × 4,761.12
  4. Step 4: Simplify right side
    6,274.02x = 41,172,499.37
  5. Step 5: Solve for x
    x = 41,172,499.37/6,274.02
  6. Step 6: Final answer
    x = 6,562.38

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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.