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Finding the Fourth Proportional to 6,096.62, 9,143.52 and 1,935.84

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Solution

The fourth proportional to 6,096.62, 9,143.52 and 1,935.84 is: 2,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.62 : 9,143.52 = 1,935.84 : x
  2. Step 2: Convert to fraction form
    6,096.62/9,143.52 = 1,935.84/x
  3. Step 3: Cross multiply
    6,096.62x = 9,143.52 × 1,935.84
  4. Step 4: Simplify right side
    6,096.62x = 17,700,391.76
  5. Step 5: Solve for x
    x = 17,700,391.76/6,096.62
  6. Step 6: Final answer
    x = 2,903.31

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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.