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Finding the Fourth Proportional to 4,900.42, 7,357.92 and 4,812.94

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Solution

The fourth proportional to 4,900.42, 7,357.92 and 4,812.94 is: 7,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.42 : 7,357.92 = 4,812.94 : x
  2. Step 2: Convert to fraction form
    4,900.42/7,357.92 = 4,812.94/x
  3. Step 3: Cross multiply
    4,900.42x = 7,357.92 × 4,812.94
  4. Step 4: Simplify right side
    4,900.42x = 35,413,227.48
  5. Step 5: Solve for x
    x = 35,413,227.48/4,900.42
  6. Step 6: Final answer
    x = 7,226.57

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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.