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Finding the Fourth Proportional to 12,657.01, 18,986.13 and 3,892

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Solution

The fourth proportional to 12,657.01, 18,986.13 and 3,892 is: 5,838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.01 : 18,986.13 = 3,892 : x
  2. Step 2: Convert to fraction form
    12,657.01/18,986.13 = 3,892/x
  3. Step 3: Cross multiply
    12,657.01x = 18,986.13 × 3,892
  4. Step 4: Simplify right side
    12,657.01x = 73,894,017.96
  5. Step 5: Solve for x
    x = 73,894,017.96/12,657.01
  6. Step 6: Final answer
    x = 5,838.19

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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.