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Finding the Fourth Proportional to 7,648.70, 11,471.57 and 2,100.63

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Solution

The fourth proportional to 7,648.70, 11,471.57 and 2,100.63 is: 3,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.70 : 11,471.57 = 2,100.63 : x
  2. Step 2: Convert to fraction form
    7,648.70/11,471.57 = 2,100.63/x
  3. Step 3: Cross multiply
    7,648.70x = 11,471.57 × 2,100.63
  4. Step 4: Simplify right side
    7,648.70x = 24,097,576.30
  5. Step 5: Solve for x
    x = 24,097,576.30/7,648.70
  6. Step 6: Final answer
    x = 3,150.54

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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.