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Finding the Fourth Proportional to 25,374.50, 38,065.38 and 7,845.68

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Solution

The fourth proportional to 25,374.50, 38,065.38 and 7,845.68 is: 11,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,374.50 : 38,065.38 = 7,845.68 : x
  2. Step 2: Convert to fraction form
    25,374.50/38,065.38 = 7,845.68/x
  3. Step 3: Cross multiply
    25,374.50x = 38,065.38 × 7,845.68
  4. Step 4: Simplify right side
    25,374.50x = 298,648,790.56
  5. Step 5: Solve for x
    x = 298,648,790.56/25,374.50
  6. Step 6: Final answer
    x = 11,769.64

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1.5x scale

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.