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Finding the Fourth Proportional to 6,871.41, 10,307.53 and 1,941.42

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Solution

The fourth proportional to 6,871.41, 10,307.53 and 1,941.42 is: 2,912.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.41 : 10,307.53 = 1,941.42 : x
  2. Step 2: Convert to fraction form
    6,871.41/10,307.53 = 1,941.42/x
  3. Step 3: Cross multiply
    6,871.41x = 10,307.53 × 1,941.42
  4. Step 4: Simplify right side
    6,871.41x = 20,011,222.53
  5. Step 5: Solve for x
    x = 20,011,222.53/6,871.41
  6. Step 6: Final answer
    x = 2,912.25

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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.