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Finding the Fourth Proportional to 6,022.97, 9,034.47 and 1,640.42

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Solution

The fourth proportional to 6,022.97, 9,034.47 and 1,640.42 is: 2,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.97 : 9,034.47 = 1,640.42 : x
  2. Step 2: Convert to fraction form
    6,022.97/9,034.47 = 1,640.42/x
  3. Step 3: Cross multiply
    6,022.97x = 9,034.47 × 1,640.42
  4. Step 4: Simplify right side
    6,022.97x = 14,820,325.28
  5. Step 5: Solve for x
    x = 14,820,325.28/6,022.97
  6. Step 6: Final answer
    x = 2,460.63

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Half scale
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Double scale
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Similar ratio
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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.