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Finding the Fourth Proportional to 10,958.66, 16,424.94 and 6,281.90

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Solution

The fourth proportional to 10,958.66, 16,424.94 and 6,281.90 is: 9,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,958.66 : 16,424.94 = 6,281.90 : x
  2. Step 2: Convert to fraction form
    10,958.66/16,424.94 = 6,281.90/x
  3. Step 3: Cross multiply
    10,958.66x = 16,424.94 × 6,281.90
  4. Step 4: Simplify right side
    10,958.66x = 103,179,830.59
  5. Step 5: Solve for x
    x = 103,179,830.59/10,958.66
  6. Step 6: Final answer
    x = 9,415.37

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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.