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Finding the Fourth Proportional to 7,805.97, 11,707.21 and 2,258.08

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Solution

The fourth proportional to 7,805.97, 11,707.21 and 2,258.08 is: 3,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.97 : 11,707.21 = 2,258.08 : x
  2. Step 2: Convert to fraction form
    7,805.97/11,707.21 = 2,258.08/x
  3. Step 3: Cross multiply
    7,805.97x = 11,707.21 × 2,258.08
  4. Step 4: Simplify right side
    7,805.97x = 26,435,816.76
  5. Step 5: Solve for x
    x = 26,435,816.76/7,805.97
  6. Step 6: Final answer
    x = 3,386.62

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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.