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Finding the Fourth Proportional to 9,204.77, 13,807.16 and 2,279.27

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Solution

The fourth proportional to 9,204.77, 13,807.16 and 2,279.27 is: 3,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.77 : 13,807.16 = 2,279.27 : x
  2. Step 2: Convert to fraction form
    9,204.77/13,807.16 = 2,279.27/x
  3. Step 3: Cross multiply
    9,204.77x = 13,807.16 × 2,279.27
  4. Step 4: Simplify right side
    9,204.77x = 31,470,245.57
  5. Step 5: Solve for x
    x = 31,470,245.57/9,204.77
  6. Step 6: Final answer
    x = 3,418.91

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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.