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Finding the Fourth Proportional to 5,958.89, 8,206.61 and 5,829.74

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Solution

The fourth proportional to 5,958.89, 8,206.61 and 5,829.74 is: 8,028.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.89 : 8,206.61 = 5,829.74 : x
  2. Step 2: Convert to fraction form
    5,958.89/8,206.61 = 5,829.74/x
  3. Step 3: Cross multiply
    5,958.89x = 8,206.61 × 5,829.74
  4. Step 4: Simplify right side
    5,958.89x = 47,842,393.95
  5. Step 5: Solve for x
    x = 47,842,393.95/5,958.89
  6. Step 6: Final answer
    x = 8,028.75

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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.