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Finding the Fourth Proportional to 6,803.40, 10,204.86 and 2,123.40

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Solution

The fourth proportional to 6,803.40, 10,204.86 and 2,123.40 is: 3,185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.40 : 10,204.86 = 2,123.40 : x
  2. Step 2: Convert to fraction form
    6,803.40/10,204.86 = 2,123.40/x
  3. Step 3: Cross multiply
    6,803.40x = 10,204.86 × 2,123.40
  4. Step 4: Simplify right side
    6,803.40x = 21,668,999.72
  5. Step 5: Solve for x
    x = 21,668,999.72/6,803.40
  6. Step 6: Final answer
    x = 3,185.03

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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.