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Finding the Fourth Proportional to 6,002, 8,283.60 and 4,328.94

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Solution

The fourth proportional to 6,002, 8,283.60 and 4,328.94 is: 5,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002 : 8,283.60 = 4,328.94 : x
  2. Step 2: Convert to fraction form
    6,002/8,283.60 = 4,328.94/x
  3. Step 3: Cross multiply
    6,002x = 8,283.60 × 4,328.94
  4. Step 4: Simplify right side
    6,002x = 35,859,207.38
  5. Step 5: Solve for x
    x = 35,859,207.38/6,002
  6. Step 6: Final answer
    x = 5,974.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.