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Finding the Fourth Proportional to 6,223.77, 8,583.17 and 4,097.52

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Solution

The fourth proportional to 6,223.77, 8,583.17 and 4,097.52 is: 5,650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.77 : 8,583.17 = 4,097.52 : x
  2. Step 2: Convert to fraction form
    6,223.77/8,583.17 = 4,097.52/x
  3. Step 3: Cross multiply
    6,223.77x = 8,583.17 × 4,097.52
  4. Step 4: Simplify right side
    6,223.77x = 35,169,690.25
  5. Step 5: Solve for x
    x = 35,169,690.25/6,223.77
  6. Step 6: Final answer
    x = 5,650.87

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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.