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Finding the Fourth Proportional to 5,958.06, 8,217.09 and 5,629.74

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Solution

The fourth proportional to 5,958.06, 8,217.09 and 5,629.74 is: 7,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.06 : 8,217.09 = 5,629.74 : x
  2. Step 2: Convert to fraction form
    5,958.06/8,217.09 = 5,629.74/x
  3. Step 3: Cross multiply
    5,958.06x = 8,217.09 × 5,629.74
  4. Step 4: Simplify right side
    5,958.06x = 46,260,080.26
  5. Step 5: Solve for x
    x = 46,260,080.26/5,958.06
  6. Step 6: Final answer
    x = 7,764.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.