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Finding the Fourth Proportional to 6,295.28, 9,442.28 and 1,912.77

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Solution

The fourth proportional to 6,295.28, 9,442.28 and 1,912.77 is: 2,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.28 : 9,442.28 = 1,912.77 : x
  2. Step 2: Convert to fraction form
    6,295.28/9,442.28 = 1,912.77/x
  3. Step 3: Cross multiply
    6,295.28x = 9,442.28 × 1,912.77
  4. Step 4: Simplify right side
    6,295.28x = 18,060,900.35
  5. Step 5: Solve for x
    x = 18,060,900.35/6,295.28
  6. Step 6: Final answer
    x = 2,868.96

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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.