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Finding the Fourth Proportional to 7,937.64, 11,894.14 and 3,004.62

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Solution

The fourth proportional to 7,937.64, 11,894.14 and 3,004.62 is: 4,502.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.64 : 11,894.14 = 3,004.62 : x
  2. Step 2: Convert to fraction form
    7,937.64/11,894.14 = 3,004.62/x
  3. Step 3: Cross multiply
    7,937.64x = 11,894.14 × 3,004.62
  4. Step 4: Simplify right side
    7,937.64x = 35,737,370.93
  5. Step 5: Solve for x
    x = 35,737,370.93/7,937.64
  6. Step 6: Final answer
    x = 4,502.27

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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.