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Finding the Fourth Proportional to 4,897, 6,759.30 and 3,033.64

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Solution

The fourth proportional to 4,897, 6,759.30 and 3,033.64 is: 4,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897 : 6,759.30 = 3,033.64 : x
  2. Step 2: Convert to fraction form
    4,897/6,759.30 = 3,033.64/x
  3. Step 3: Cross multiply
    4,897x = 6,759.30 × 3,033.64
  4. Step 4: Simplify right side
    4,897x = 20,505,282.85
  5. Step 5: Solve for x
    x = 20,505,282.85/4,897
  6. Step 6: Final answer
    x = 4,187.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.