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Finding the Fourth Proportional to 7,808.74, 11,713.71 and 2,262.16

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Solution

The fourth proportional to 7,808.74, 11,713.71 and 2,262.16 is: 3,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.74 : 11,713.71 = 2,262.16 : x
  2. Step 2: Convert to fraction form
    7,808.74/11,713.71 = 2,262.16/x
  3. Step 3: Cross multiply
    7,808.74x = 11,713.71 × 2,262.16
  4. Step 4: Simplify right side
    7,808.74x = 26,498,309.34
  5. Step 5: Solve for x
    x = 26,498,309.34/7,808.74
  6. Step 6: Final answer
    x = 3,393.42

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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.