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Finding the Fourth Proportional to 9,338.67, 14,007.96 and 3,182.67

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Solution

The fourth proportional to 9,338.67, 14,007.96 and 3,182.67 is: 4,773.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.67 : 14,007.96 = 3,182.67 : x
  2. Step 2: Convert to fraction form
    9,338.67/14,007.96 = 3,182.67/x
  3. Step 3: Cross multiply
    9,338.67x = 14,007.96 × 3,182.67
  4. Step 4: Simplify right side
    9,338.67x = 44,582,714.05
  5. Step 5: Solve for x
    x = 44,582,714.05/9,338.67
  6. Step 6: Final answer
    x = 4,773.99

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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.