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Finding the Fourth Proportional to 6,362.64, 9,544.50 and 2,464.92

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Solution

The fourth proportional to 6,362.64, 9,544.50 and 2,464.92 is: 3,697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.64 : 9,544.50 = 2,464.92 : x
  2. Step 2: Convert to fraction form
    6,362.64/9,544.50 = 2,464.92/x
  3. Step 3: Cross multiply
    6,362.64x = 9,544.50 × 2,464.92
  4. Step 4: Simplify right side
    6,362.64x = 23,526,428.94
  5. Step 5: Solve for x
    x = 23,526,428.94/6,362.64
  6. Step 6: Final answer
    x = 3,697.59

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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.