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Finding the Fourth Proportional to 6,347.27, 9,523.18 and 2,836.98

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Solution

The fourth proportional to 6,347.27, 9,523.18 and 2,836.98 is: 4,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.27 : 9,523.18 = 2,836.98 : x
  2. Step 2: Convert to fraction form
    6,347.27/9,523.18 = 2,836.98/x
  3. Step 3: Cross multiply
    6,347.27x = 9,523.18 × 2,836.98
  4. Step 4: Simplify right side
    6,347.27x = 27,017,074.74
  5. Step 5: Solve for x
    x = 27,017,074.74/6,347.27
  6. Step 6: Final answer
    x = 4,256.49

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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.