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Finding the Fourth Proportional to 8,246.12, 12,369 and 2,006.16

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Solution

The fourth proportional to 8,246.12, 12,369 and 2,006.16 is: 3,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.12 : 12,369 = 2,006.16 : x
  2. Step 2: Convert to fraction form
    8,246.12/12,369 = 2,006.16/x
  3. Step 3: Cross multiply
    8,246.12x = 12,369 × 2,006.16
  4. Step 4: Simplify right side
    8,246.12x = 24,814,193.04
  5. Step 5: Solve for x
    x = 24,814,193.04/8,246.12
  6. Step 6: Final answer
    x = 3,009.20

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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.