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Finding the Fourth Proportional to 6,313.62, 9,459.12 and 3,847.14

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Solution

The fourth proportional to 6,313.62, 9,459.12 and 3,847.14 is: 5,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.62 : 9,459.12 = 3,847.14 : x
  2. Step 2: Convert to fraction form
    6,313.62/9,459.12 = 3,847.14/x
  3. Step 3: Cross multiply
    6,313.62x = 9,459.12 × 3,847.14
  4. Step 4: Simplify right side
    6,313.62x = 36,390,558.92
  5. Step 5: Solve for x
    x = 36,390,558.92/6,313.62
  6. Step 6: Final answer
    x = 5,763.82

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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.