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Finding the Fourth Proportional to 7,861.97, 10,849.69 and 4,325.19

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Solution

The fourth proportional to 7,861.97, 10,849.69 and 4,325.19 is: 5,968.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.97 : 10,849.69 = 4,325.19 : x
  2. Step 2: Convert to fraction form
    7,861.97/10,849.69 = 4,325.19/x
  3. Step 3: Cross multiply
    7,861.97x = 10,849.69 × 4,325.19
  4. Step 4: Simplify right side
    7,861.97x = 46,926,959.88
  5. Step 5: Solve for x
    x = 46,926,959.88/7,861.97
  6. Step 6: Final answer
    x = 5,968.85

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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.