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Finding the Fourth Proportional to 7,805.92, 11,707.47 and 2,257.90

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Solution

The fourth proportional to 7,805.92, 11,707.47 and 2,257.90 is: 3,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.92 : 11,707.47 = 2,257.90 : x
  2. Step 2: Convert to fraction form
    7,805.92/11,707.47 = 2,257.90/x
  3. Step 3: Cross multiply
    7,805.92x = 11,707.47 × 2,257.90
  4. Step 4: Simplify right side
    7,805.92x = 26,434,296.51
  5. Step 5: Solve for x
    x = 26,434,296.51/7,805.92
  6. Step 6: Final answer
    x = 3,386.44

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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.