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Finding the Fourth Proportional to 11,430.64, 15,767.22 and 7,843.96

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Solution

The fourth proportional to 11,430.64, 15,767.22 and 7,843.96 is: 10,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.64 : 15,767.22 = 7,843.96 : x
  2. Step 2: Convert to fraction form
    11,430.64/15,767.22 = 7,843.96/x
  3. Step 3: Cross multiply
    11,430.64x = 15,767.22 × 7,843.96
  4. Step 4: Simplify right side
    11,430.64x = 123,677,442.99
  5. Step 5: Solve for x
    x = 123,677,442.99/11,430.64
  6. Step 6: Final answer
    x = 10,819.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.