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Finding the Fourth Proportional to 7,804.97, 11,705.71 and 2,257.08

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Solution

The fourth proportional to 7,804.97, 11,705.71 and 2,257.08 is: 3,385.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.97 : 11,705.71 = 2,257.08 : x
  2. Step 2: Convert to fraction form
    7,804.97/11,705.71 = 2,257.08/x
  3. Step 3: Cross multiply
    7,804.97x = 11,705.71 × 2,257.08
  4. Step 4: Simplify right side
    7,804.97x = 26,420,723.93
  5. Step 5: Solve for x
    x = 26,420,723.93/7,804.97
  6. Step 6: Final answer
    x = 3,385.12

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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.