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Finding the Fourth Proportional to 6,362.34, 9,540.87 and 2,464.50

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Solution

The fourth proportional to 6,362.34, 9,540.87 and 2,464.50 is: 3,695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.34 : 9,540.87 = 2,464.50 : x
  2. Step 2: Convert to fraction form
    6,362.34/9,540.87 = 2,464.50/x
  3. Step 3: Cross multiply
    6,362.34x = 9,540.87 × 2,464.50
  4. Step 4: Simplify right side
    6,362.34x = 23,513,474.12
  5. Step 5: Solve for x
    x = 23,513,474.12/6,362.34
  6. Step 6: Final answer
    x = 3,695.73

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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.