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Finding the Fourth Proportional to 6,096.74, 9,142.86 and 2,975.84

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Solution

The fourth proportional to 6,096.74, 9,142.86 and 2,975.84 is: 4,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.74 : 9,142.86 = 2,975.84 : x
  2. Step 2: Convert to fraction form
    6,096.74/9,142.86 = 2,975.84/x
  3. Step 3: Cross multiply
    6,096.74x = 9,142.86 × 2,975.84
  4. Step 4: Simplify right side
    6,096.74x = 27,207,688.50
  5. Step 5: Solve for x
    x = 27,207,688.50/6,096.74
  6. Step 6: Final answer
    x = 4,462.66

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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.