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Finding the Fourth Proportional to 4,122.99, 6,184.49 and 1,201.30

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Solution

The fourth proportional to 4,122.99, 6,184.49 and 1,201.30 is: 1,801.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.99 : 6,184.49 = 1,201.30 : x
  2. Step 2: Convert to fraction form
    4,122.99/6,184.49 = 1,201.30/x
  3. Step 3: Cross multiply
    4,122.99x = 6,184.49 × 1,201.30
  4. Step 4: Simplify right side
    4,122.99x = 7,429,427.84
  5. Step 5: Solve for x
    x = 7,429,427.84/4,122.99
  6. Step 6: Final answer
    x = 1,801.95

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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.