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Finding the Fourth Proportional to 25,182, 37,773.12 and 6,714

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Solution

The fourth proportional to 25,182, 37,773.12 and 6,714 is: 10,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,182 : 37,773.12 = 6,714 : x
  2. Step 2: Convert to fraction form
    25,182/37,773.12 = 6,714/x
  3. Step 3: Cross multiply
    25,182x = 37,773.12 × 6,714
  4. Step 4: Simplify right side
    25,182x = 253,608,727.68
  5. Step 5: Solve for x
    x = 253,608,727.68/25,182
  6. Step 6: Final answer
    x = 10,071.03

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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.