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Finding the Fourth Proportional to 4,900.64, 7,350.84 and 1,202.84

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Solution

The fourth proportional to 4,900.64, 7,350.84 and 1,202.84 is: 1,804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.64 : 7,350.84 = 1,202.84 : x
  2. Step 2: Convert to fraction form
    4,900.64/7,350.84 = 1,202.84/x
  3. Step 3: Cross multiply
    4,900.64x = 7,350.84 × 1,202.84
  4. Step 4: Simplify right side
    4,900.64x = 8,841,884.39
  5. Step 5: Solve for x
    x = 8,841,884.39/4,900.64
  6. Step 6: Final answer
    x = 1,804.23

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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.