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Finding the Fourth Proportional to 7,894.27, 11,839.04 and 6,504.16

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Solution

The fourth proportional to 7,894.27, 11,839.04 and 6,504.16 is: 9,754.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.27 : 11,839.04 = 6,504.16 : x
  2. Step 2: Convert to fraction form
    7,894.27/11,839.04 = 6,504.16/x
  3. Step 3: Cross multiply
    7,894.27x = 11,839.04 × 6,504.16
  4. Step 4: Simplify right side
    7,894.27x = 77,003,010.41
  5. Step 5: Solve for x
    x = 77,003,010.41/7,894.27
  6. Step 6: Final answer
    x = 9,754.29

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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.