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Finding the Fourth Proportional to 4,912.46, 7,370.92 and 4,497.20

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Solution

The fourth proportional to 4,912.46, 7,370.92 and 4,497.20 is: 6,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.46 : 7,370.92 = 4,497.20 : x
  2. Step 2: Convert to fraction form
    4,912.46/7,370.92 = 4,497.20/x
  3. Step 3: Cross multiply
    4,912.46x = 7,370.92 × 4,497.20
  4. Step 4: Simplify right side
    4,912.46x = 33,148,501.42
  5. Step 5: Solve for x
    x = 33,148,501.42/4,912.46
  6. Step 6: Final answer
    x = 6,747.84

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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.