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Finding the Fourth Proportional to 12,842.30, 17,723.04 and 7,805.70

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Solution

The fourth proportional to 12,842.30, 17,723.04 and 7,805.70 is: 10,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.30 : 17,723.04 = 7,805.70 : x
  2. Step 2: Convert to fraction form
    12,842.30/17,723.04 = 7,805.70/x
  3. Step 3: Cross multiply
    12,842.30x = 17,723.04 × 7,805.70
  4. Step 4: Simplify right side
    12,842.30x = 138,340,769.92
  5. Step 5: Solve for x
    x = 138,340,769.92/12,842.30
  6. Step 6: Final answer
    x = 10,772.28

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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.