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Finding the Fourth Proportional to 8,014.08, 12,025.98 and 6,982.14

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Solution

The fourth proportional to 8,014.08, 12,025.98 and 6,982.14 is: 10,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.08 : 12,025.98 = 6,982.14 : x
  2. Step 2: Convert to fraction form
    8,014.08/12,025.98 = 6,982.14/x
  3. Step 3: Cross multiply
    8,014.08x = 12,025.98 × 6,982.14
  4. Step 4: Simplify right side
    8,014.08x = 83,967,076.00
  5. Step 5: Solve for x
    x = 83,967,076.00/8,014.08
  6. Step 6: Final answer
    x = 10,477.44

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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.