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Finding the Fourth Proportional to 6,197.84, 8,552.94 and 3,403.34

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Solution

The fourth proportional to 6,197.84, 8,552.94 and 3,403.34 is: 4,696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.84 : 8,552.94 = 3,403.34 : x
  2. Step 2: Convert to fraction form
    6,197.84/8,552.94 = 3,403.34/x
  3. Step 3: Cross multiply
    6,197.84x = 8,552.94 × 3,403.34
  4. Step 4: Simplify right side
    6,197.84x = 29,108,562.82
  5. Step 5: Solve for x
    x = 29,108,562.82/6,197.84
  6. Step 6: Final answer
    x = 4,696.57

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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.