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Finding the Fourth Proportional to 5,842.14, 8,751.86 and 5,187.66

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Solution

The fourth proportional to 5,842.14, 8,751.86 and 5,187.66 is: 7,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.14 : 8,751.86 = 5,187.66 : x
  2. Step 2: Convert to fraction form
    5,842.14/8,751.86 = 5,187.66/x
  3. Step 3: Cross multiply
    5,842.14x = 8,751.86 × 5,187.66
  4. Step 4: Simplify right side
    5,842.14x = 45,401,674.05
  5. Step 5: Solve for x
    x = 45,401,674.05/5,842.14
  6. Step 6: Final answer
    x = 7,771.41

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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.