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Finding the Fourth Proportional to 6,449.73, 9,674.64 and 6,134.94

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Solution

The fourth proportional to 6,449.73, 9,674.64 and 6,134.94 is: 9,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.73 : 9,674.64 = 6,134.94 : x
  2. Step 2: Convert to fraction form
    6,449.73/9,674.64 = 6,134.94/x
  3. Step 3: Cross multiply
    6,449.73x = 9,674.64 × 6,134.94
  4. Step 4: Simplify right side
    6,449.73x = 59,353,256.87
  5. Step 5: Solve for x
    x = 59,353,256.87/6,449.73
  6. Step 6: Final answer
    x = 9,202.45

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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.