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Finding the Fourth Proportional to 7,843.63, 11,765.10 and 2,000.06

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Solution

The fourth proportional to 7,843.63, 11,765.10 and 2,000.06 is: 3,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.63 : 11,765.10 = 2,000.06 : x
  2. Step 2: Convert to fraction form
    7,843.63/11,765.10 = 2,000.06/x
  3. Step 3: Cross multiply
    7,843.63x = 11,765.10 × 2,000.06
  4. Step 4: Simplify right side
    7,843.63x = 23,530,905.91
  5. Step 5: Solve for x
    x = 23,530,905.91/7,843.63
  6. Step 6: Final answer
    x = 3,000.00

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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.