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Finding the Fourth Proportional to 6,486.66, 9,731.54 and 2,104.13

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Solution

The fourth proportional to 6,486.66, 9,731.54 and 2,104.13 is: 3,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.66 : 9,731.54 = 2,104.13 : x
  2. Step 2: Convert to fraction form
    6,486.66/9,731.54 = 2,104.13/x
  3. Step 3: Cross multiply
    6,486.66x = 9,731.54 × 2,104.13
  4. Step 4: Simplify right side
    6,486.66x = 20,476,425.26
  5. Step 5: Solve for x
    x = 20,476,425.26/6,486.66
  6. Step 6: Final answer
    x = 3,156.70

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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.