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Finding the Fourth Proportional to 6,315.66, 9,474.84 and 1,932.96

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Solution

The fourth proportional to 6,315.66, 9,474.84 and 1,932.96 is: 2,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.66 : 9,474.84 = 1,932.96 : x
  2. Step 2: Convert to fraction form
    6,315.66/9,474.84 = 1,932.96/x
  3. Step 3: Cross multiply
    6,315.66x = 9,474.84 × 1,932.96
  4. Step 4: Simplify right side
    6,315.66x = 18,314,486.73
  5. Step 5: Solve for x
    x = 18,314,486.73/6,315.66
  6. Step 6: Final answer
    x = 2,899.85

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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.