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Finding the Fourth Proportional to 7,805.25, 11,708.13 and 2,259.84

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Solution

The fourth proportional to 7,805.25, 11,708.13 and 2,259.84 is: 3,389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.25 : 11,708.13 = 2,259.84 : x
  2. Step 2: Convert to fraction form
    7,805.25/11,708.13 = 2,259.84/x
  3. Step 3: Cross multiply
    7,805.25x = 11,708.13 × 2,259.84
  4. Step 4: Simplify right side
    7,805.25x = 26,458,500.50
  5. Step 5: Solve for x
    x = 26,458,500.50/7,805.25
  6. Step 6: Final answer
    x = 3,389.83

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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.