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Finding the Fourth Proportional to 11,953.77, 17,914.26 and 6,098.07

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Solution

The fourth proportional to 11,953.77, 17,914.26 and 6,098.07 is: 9,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.77 : 17,914.26 = 6,098.07 : x
  2. Step 2: Convert to fraction form
    11,953.77/17,914.26 = 6,098.07/x
  3. Step 3: Cross multiply
    11,953.77x = 17,914.26 × 6,098.07
  4. Step 4: Simplify right side
    11,953.77x = 109,242,411.48
  5. Step 5: Solve for x
    x = 109,242,411.48/11,953.77
  6. Step 6: Final answer
    x = 9,138.74

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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.