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Finding the Fourth Proportional to 8,030.63, 12,049.13 and 3,098.95

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Solution

The fourth proportional to 8,030.63, 12,049.13 and 3,098.95 is: 4,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.63 : 12,049.13 = 3,098.95 : x
  2. Step 2: Convert to fraction form
    8,030.63/12,049.13 = 3,098.95/x
  3. Step 3: Cross multiply
    8,030.63x = 12,049.13 × 3,098.95
  4. Step 4: Simplify right side
    8,030.63x = 37,339,629.04
  5. Step 5: Solve for x
    x = 37,339,629.04/8,030.63
  6. Step 6: Final answer
    x = 4,649.65

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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.