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Finding the Fourth Proportional to 23,198.99, 34,801.01 and 7,400.30

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Solution

The fourth proportional to 23,198.99, 34,801.01 and 7,400.30 is: 11,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.99 : 34,801.01 = 7,400.30 : x
  2. Step 2: Convert to fraction form
    23,198.99/34,801.01 = 7,400.30/x
  3. Step 3: Cross multiply
    23,198.99x = 34,801.01 × 7,400.30
  4. Step 4: Simplify right side
    23,198.99x = 257,537,914.30
  5. Step 5: Solve for x
    x = 257,537,914.30/23,198.99
  6. Step 6: Final answer
    x = 11,101.26

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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.