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Finding the Fourth Proportional to 6,803.34, 10,203.12 and 1,871.80

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Solution

The fourth proportional to 6,803.34, 10,203.12 and 1,871.80 is: 2,807.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.34 : 10,203.12 = 1,871.80 : x
  2. Step 2: Convert to fraction form
    6,803.34/10,203.12 = 1,871.80/x
  3. Step 3: Cross multiply
    6,803.34x = 10,203.12 × 1,871.80
  4. Step 4: Simplify right side
    6,803.34x = 19,098,200.02
  5. Step 5: Solve for x
    x = 19,098,200.02/6,803.34
  6. Step 6: Final answer
    x = 2,807.18

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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.