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Finding the Fourth Proportional to 12,302.10, 16,978.26 and 6,997.94

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Solution

The fourth proportional to 12,302.10, 16,978.26 and 6,997.94 is: 9,657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.10 : 16,978.26 = 6,997.94 : x
  2. Step 2: Convert to fraction form
    12,302.10/16,978.26 = 6,997.94/x
  3. Step 3: Cross multiply
    12,302.10x = 16,978.26 × 6,997.94
  4. Step 4: Simplify right side
    12,302.10x = 118,812,844.78
  5. Step 5: Solve for x
    x = 118,812,844.78/12,302.10
  6. Step 6: Final answer
    x = 9,657.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.