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Finding the Fourth Proportional to 6,096.93, 9,159.98 and 3,909.93

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Solution

The fourth proportional to 6,096.93, 9,159.98 and 3,909.93 is: 5,874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.93 : 9,159.98 = 3,909.93 : x
  2. Step 2: Convert to fraction form
    6,096.93/9,159.98 = 3,909.93/x
  3. Step 3: Cross multiply
    6,096.93x = 9,159.98 × 3,909.93
  4. Step 4: Simplify right side
    6,096.93x = 35,814,861.05
  5. Step 5: Solve for x
    x = 35,814,861.05/6,096.93
  6. Step 6: Final answer
    x = 5,874.25

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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.