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Finding the Fourth Proportional to 5,269.54, 7,912.53 and 5,035.84

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Solution

The fourth proportional to 5,269.54, 7,912.53 and 5,035.84 is: 7,561.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.54 : 7,912.53 = 5,035.84 : x
  2. Step 2: Convert to fraction form
    5,269.54/7,912.53 = 5,035.84/x
  3. Step 3: Cross multiply
    5,269.54x = 7,912.53 × 5,035.84
  4. Step 4: Simplify right side
    5,269.54x = 39,846,235.08
  5. Step 5: Solve for x
    x = 39,846,235.08/5,269.54
  6. Step 6: Final answer
    x = 7,561.62

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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.