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Finding the Fourth Proportional to 6,810.34, 10,214.34 and 2,368

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Solution

The fourth proportional to 6,810.34, 10,214.34 and 2,368 is: 3,551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.34 : 10,214.34 = 2,368 : x
  2. Step 2: Convert to fraction form
    6,810.34/10,214.34 = 2,368/x
  3. Step 3: Cross multiply
    6,810.34x = 10,214.34 × 2,368
  4. Step 4: Simplify right side
    6,810.34x = 24,187,557.12
  5. Step 5: Solve for x
    x = 24,187,557.12/6,810.34
  6. Step 6: Final answer
    x = 3,551.59

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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.