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Finding the Fourth Proportional to 25,237.44, 37,854.72 and 6,768

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Solution

The fourth proportional to 25,237.44, 37,854.72 and 6,768 is: 10,151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,237.44 : 37,854.72 = 6,768 : x
  2. Step 2: Convert to fraction form
    25,237.44/37,854.72 = 6,768/x
  3. Step 3: Cross multiply
    25,237.44x = 37,854.72 × 6,768
  4. Step 4: Simplify right side
    25,237.44x = 256,200,744.96
  5. Step 5: Solve for x
    x = 256,200,744.96/25,237.44
  6. Step 6: Final answer
    x = 10,151.61

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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.