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Finding the Fourth Proportional to 8,028.99, 12,046.95 and 3,102.08

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Solution

The fourth proportional to 8,028.99, 12,046.95 and 3,102.08 is: 4,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.99 : 12,046.95 = 3,102.08 : x
  2. Step 2: Convert to fraction form
    8,028.99/12,046.95 = 3,102.08/x
  3. Step 3: Cross multiply
    8,028.99x = 12,046.95 × 3,102.08
  4. Step 4: Simplify right side
    8,028.99x = 37,370,542.42
  5. Step 5: Solve for x
    x = 37,370,542.42/8,028.99
  6. Step 6: Final answer
    x = 4,654.45

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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.