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Finding the Fourth Proportional to 7,883.86, 11,828.07 and 2,337.34

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Solution

The fourth proportional to 7,883.86, 11,828.07 and 2,337.34 is: 3,506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.86 : 11,828.07 = 2,337.34 : x
  2. Step 2: Convert to fraction form
    7,883.86/11,828.07 = 2,337.34/x
  3. Step 3: Cross multiply
    7,883.86x = 11,828.07 × 2,337.34
  4. Step 4: Simplify right side
    7,883.86x = 27,646,221.13
  5. Step 5: Solve for x
    x = 27,646,221.13/7,883.86
  6. Step 6: Final answer
    x = 3,506.69

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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.