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Finding the Fourth Proportional to 6,810.46, 10,202.02 and 4,965.48

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Solution

The fourth proportional to 6,810.46, 10,202.02 and 4,965.48 is: 7,438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.46 : 10,202.02 = 4,965.48 : x
  2. Step 2: Convert to fraction form
    6,810.46/10,202.02 = 4,965.48/x
  3. Step 3: Cross multiply
    6,810.46x = 10,202.02 × 4,965.48
  4. Step 4: Simplify right side
    6,810.46x = 50,657,901.44
  5. Step 5: Solve for x
    x = 50,657,901.44/6,810.46
  6. Step 6: Final answer
    x = 7,438.26

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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.