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Finding the Fourth Proportional to 6,143.65, 9,214.56 and 1,760.54

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Solution

The fourth proportional to 6,143.65, 9,214.56 and 1,760.54 is: 2,640.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.65 : 9,214.56 = 1,760.54 : x
  2. Step 2: Convert to fraction form
    6,143.65/9,214.56 = 1,760.54/x
  3. Step 3: Cross multiply
    6,143.65x = 9,214.56 × 1,760.54
  4. Step 4: Simplify right side
    6,143.65x = 16,222,555.39
  5. Step 5: Solve for x
    x = 16,222,555.39/6,143.65
  6. Step 6: Final answer
    x = 2,640.54

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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.