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Finding the Fourth Proportional to 7,842.86, 11,763.07 and 2,294.90

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Solution

The fourth proportional to 7,842.86, 11,763.07 and 2,294.90 is: 3,441.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.86 : 11,763.07 = 2,294.90 : x
  2. Step 2: Convert to fraction form
    7,842.86/11,763.07 = 2,294.90/x
  3. Step 3: Cross multiply
    7,842.86x = 11,763.07 × 2,294.90
  4. Step 4: Simplify right side
    7,842.86x = 26,995,004.79
  5. Step 5: Solve for x
    x = 26,995,004.79/7,842.86
  6. Step 6: Final answer
    x = 3,441.99

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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.