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Finding the Fourth Proportional to 25,299.10, 37,947.21 and 7,768.87

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Solution

The fourth proportional to 25,299.10, 37,947.21 and 7,768.87 is: 11,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,299.10 : 37,947.21 = 7,768.87 : x
  2. Step 2: Convert to fraction form
    25,299.10/37,947.21 = 7,768.87/x
  3. Step 3: Cross multiply
    25,299.10x = 37,947.21 × 7,768.87
  4. Step 4: Simplify right side
    25,299.10x = 294,806,941.35
  5. Step 5: Solve for x
    x = 294,806,941.35/25,299.10
  6. Step 6: Final answer
    x = 11,652.86

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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.