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Finding the Fourth Proportional to 6,463.86, 9,712.19 and 4,124.98

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Solution

The fourth proportional to 6,463.86, 9,712.19 and 4,124.98 is: 6,197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.86 : 9,712.19 = 4,124.98 : x
  2. Step 2: Convert to fraction form
    6,463.86/9,712.19 = 4,124.98/x
  3. Step 3: Cross multiply
    6,463.86x = 9,712.19 × 4,124.98
  4. Step 4: Simplify right side
    6,463.86x = 40,062,589.51
  5. Step 5: Solve for x
    x = 40,062,589.51/6,463.86
  6. Step 6: Final answer
    x = 6,197.94

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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.