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Finding the Fourth Proportional to 8,294.36, 12,444.78 and 3,099.02

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Solution

The fourth proportional to 8,294.36, 12,444.78 and 3,099.02 is: 4,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.36 : 12,444.78 = 3,099.02 : x
  2. Step 2: Convert to fraction form
    8,294.36/12,444.78 = 3,099.02/x
  3. Step 3: Cross multiply
    8,294.36x = 12,444.78 × 3,099.02
  4. Step 4: Simplify right side
    8,294.36x = 38,566,622.12
  5. Step 5: Solve for x
    x = 38,566,622.12/8,294.36
  6. Step 6: Final answer
    x = 4,649.74

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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.