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Finding the Fourth Proportional to 6,696.98, 10,045.30 and 6,494

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Solution

The fourth proportional to 6,696.98, 10,045.30 and 6,494 is: 9,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.98 : 10,045.30 = 6,494 : x
  2. Step 2: Convert to fraction form
    6,696.98/10,045.30 = 6,494/x
  3. Step 3: Cross multiply
    6,696.98x = 10,045.30 × 6,494
  4. Step 4: Simplify right side
    6,696.98x = 65,234,178.20
  5. Step 5: Solve for x
    x = 65,234,178.20/6,696.98
  6. Step 6: Final answer
    x = 9,740.84

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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.