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Finding the Fourth Proportional to 6,093.82, 9,140.68 and 4,986.64

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Solution

The fourth proportional to 6,093.82, 9,140.68 and 4,986.64 is: 7,479.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.82 : 9,140.68 = 4,986.64 : x
  2. Step 2: Convert to fraction form
    6,093.82/9,140.68 = 4,986.64/x
  3. Step 3: Cross multiply
    6,093.82x = 9,140.68 × 4,986.64
  4. Step 4: Simplify right side
    6,093.82x = 45,581,280.52
  5. Step 5: Solve for x
    x = 45,581,280.52/6,093.82
  6. Step 6: Final answer
    x = 7,479.92

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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.