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Finding the Fourth Proportional to 7,843.10, 11,765.69 and 2,296.40

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Solution

The fourth proportional to 7,843.10, 11,765.69 and 2,296.40 is: 3,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.10 : 11,765.69 = 2,296.40 : x
  2. Step 2: Convert to fraction form
    7,843.10/11,765.69 = 2,296.40/x
  3. Step 3: Cross multiply
    7,843.10x = 11,765.69 × 2,296.40
  4. Step 4: Simplify right side
    7,843.10x = 27,018,660.21
  5. Step 5: Solve for x
    x = 27,018,660.21/7,843.10
  6. Step 6: Final answer
    x = 3,444.90

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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.