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Finding the Fourth Proportional to 4,608.97, 6,914.63 and 1,322.30

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Solution

The fourth proportional to 4,608.97, 6,914.63 and 1,322.30 is: 1,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.97 : 6,914.63 = 1,322.30 : x
  2. Step 2: Convert to fraction form
    4,608.97/6,914.63 = 1,322.30/x
  3. Step 3: Cross multiply
    4,608.97x = 6,914.63 × 1,322.30
  4. Step 4: Simplify right side
    4,608.97x = 9,143,235.84
  5. Step 5: Solve for x
    x = 9,143,235.84/4,608.97
  6. Step 6: Final answer
    x = 1,983.79

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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.