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Finding the Fourth Proportional to 6,876.06, 10,314 and 1,681.98

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Solution

The fourth proportional to 6,876.06, 10,314 and 1,681.98 is: 2,522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.06 : 10,314 = 1,681.98 : x
  2. Step 2: Convert to fraction form
    6,876.06/10,314 = 1,681.98/x
  3. Step 3: Cross multiply
    6,876.06x = 10,314 × 1,681.98
  4. Step 4: Simplify right side
    6,876.06x = 17,347,941.72
  5. Step 5: Solve for x
    x = 17,347,941.72/6,876.06
  6. Step 6: Final answer
    x = 2,522.95

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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.