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Finding the Fourth Proportional to 3,465.95, 5,198.93 and 967.04

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Solution

The fourth proportional to 3,465.95, 5,198.93 and 967.04 is: 1,450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.95 : 5,198.93 = 967.04 : x
  2. Step 2: Convert to fraction form
    3,465.95/5,198.93 = 967.04/x
  3. Step 3: Cross multiply
    3,465.95x = 5,198.93 × 967.04
  4. Step 4: Simplify right side
    3,465.95x = 5,027,573.27
  5. Step 5: Solve for x
    x = 5,027,573.27/3,465.95
  6. Step 6: Final answer
    x = 1,450.56

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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.