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Finding the Fourth Proportional to 6,143.89, 9,206.54 and 4,576.54

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Solution

The fourth proportional to 6,143.89, 9,206.54 and 4,576.54 is: 6,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.89 : 9,206.54 = 4,576.54 : x
  2. Step 2: Convert to fraction form
    6,143.89/9,206.54 = 4,576.54/x
  3. Step 3: Cross multiply
    6,143.89x = 9,206.54 × 4,576.54
  4. Step 4: Simplify right side
    6,143.89x = 42,134,098.57
  5. Step 5: Solve for x
    x = 42,134,098.57/6,143.89
  6. Step 6: Final answer
    x = 6,857.89

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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.