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Finding the Fourth Proportional to 8,203.80, 12,305.70 and 7,750.20

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Solution

The fourth proportional to 8,203.80, 12,305.70 and 7,750.20 is: 11,625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.80 : 12,305.70 = 7,750.20 : x
  2. Step 2: Convert to fraction form
    8,203.80/12,305.70 = 7,750.20/x
  3. Step 3: Cross multiply
    8,203.80x = 12,305.70 × 7,750.20
  4. Step 4: Simplify right side
    8,203.80x = 95,371,636.14
  5. Step 5: Solve for x
    x = 95,371,636.14/8,203.80
  6. Step 6: Final answer
    x = 11,625.30

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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.