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Finding the Fourth Proportional to 8,027.80, 12,027.30 and 6,875.80

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Solution

The fourth proportional to 8,027.80, 12,027.30 and 6,875.80 is: 10,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.80 : 12,027.30 = 6,875.80 : x
  2. Step 2: Convert to fraction form
    8,027.80/12,027.30 = 6,875.80/x
  3. Step 3: Cross multiply
    8,027.80x = 12,027.30 × 6,875.80
  4. Step 4: Simplify right side
    8,027.80x = 82,697,309.34
  5. Step 5: Solve for x
    x = 82,697,309.34/8,027.80
  6. Step 6: Final answer
    x = 10,301.37

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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.