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Finding the Fourth Proportional to 6,739.61, 9,291 and 4,743.96

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Solution

The fourth proportional to 6,739.61, 9,291 and 4,743.96 is: 6,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.61 : 9,291 = 4,743.96 : x
  2. Step 2: Convert to fraction form
    6,739.61/9,291 = 4,743.96/x
  3. Step 3: Cross multiply
    6,739.61x = 9,291 × 4,743.96
  4. Step 4: Simplify right side
    6,739.61x = 44,076,132.36
  5. Step 5: Solve for x
    x = 44,076,132.36/6,739.61
  6. Step 6: Final answer
    x = 6,539.87

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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.