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Finding the Fourth Proportional to 25,311.71, 37,971.20 and 7,783.01

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Solution

The fourth proportional to 25,311.71, 37,971.20 and 7,783.01 is: 11,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,311.71 : 37,971.20 = 7,783.01 : x
  2. Step 2: Convert to fraction form
    25,311.71/37,971.20 = 7,783.01/x
  3. Step 3: Cross multiply
    25,311.71x = 37,971.20 × 7,783.01
  4. Step 4: Simplify right side
    25,311.71x = 295,530,229.31
  5. Step 5: Solve for x
    x = 295,530,229.31/25,311.71
  6. Step 6: Final answer
    x = 11,675.63

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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.