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Finding the Fourth Proportional to 7,833.68, 11,751.11 and 2,287.07

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Solution

The fourth proportional to 7,833.68, 11,751.11 and 2,287.07 is: 3,430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.68 : 11,751.11 = 2,287.07 : x
  2. Step 2: Convert to fraction form
    7,833.68/11,751.11 = 2,287.07/x
  3. Step 3: Cross multiply
    7,833.68x = 11,751.11 × 2,287.07
  4. Step 4: Simplify right side
    7,833.68x = 26,875,540.96
  5. Step 5: Solve for x
    x = 26,875,540.96/7,833.68
  6. Step 6: Final answer
    x = 3,430.77

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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.