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Finding the Fourth Proportional to 8,002.43, 12,004.94 and 3,005.19

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Solution

The fourth proportional to 8,002.43, 12,004.94 and 3,005.19 is: 4,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.43 : 12,004.94 = 3,005.19 : x
  2. Step 2: Convert to fraction form
    8,002.43/12,004.94 = 3,005.19/x
  3. Step 3: Cross multiply
    8,002.43x = 12,004.94 × 3,005.19
  4. Step 4: Simplify right side
    8,002.43x = 36,077,095.67
  5. Step 5: Solve for x
    x = 36,077,095.67/8,002.43
  6. Step 6: Final answer
    x = 4,508.27

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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.