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Finding the Fourth Proportional to 6,898.34, 10,348.11 and 3,003.14

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Solution

The fourth proportional to 6,898.34, 10,348.11 and 3,003.14 is: 4,504.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.34 : 10,348.11 = 3,003.14 : x
  2. Step 2: Convert to fraction form
    6,898.34/10,348.11 = 3,003.14/x
  3. Step 3: Cross multiply
    6,898.34x = 10,348.11 × 3,003.14
  4. Step 4: Simplify right side
    6,898.34x = 31,076,823.07
  5. Step 5: Solve for x
    x = 31,076,823.07/6,898.34
  6. Step 6: Final answer
    x = 4,504.97

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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.