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Finding the Fourth Proportional to 6,978.66, 10,463.10 and 2,594.94

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Solution

The fourth proportional to 6,978.66, 10,463.10 and 2,594.94 is: 3,890.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.66 : 10,463.10 = 2,594.94 : x
  2. Step 2: Convert to fraction form
    6,978.66/10,463.10 = 2,594.94/x
  3. Step 3: Cross multiply
    6,978.66x = 10,463.10 × 2,594.94
  4. Step 4: Simplify right side
    6,978.66x = 27,151,116.71
  5. Step 5: Solve for x
    x = 27,151,116.71/6,978.66
  6. Step 6: Final answer
    x = 3,890.59

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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.