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Finding the Fourth Proportional to 6,093, 8,407.98 and 3,403.71

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Solution

The fourth proportional to 6,093, 8,407.98 and 3,403.71 is: 4,696.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093 : 8,407.98 = 3,403.71 : x
  2. Step 2: Convert to fraction form
    6,093/8,407.98 = 3,403.71/x
  3. Step 3: Cross multiply
    6,093x = 8,407.98 × 3,403.71
  4. Step 4: Simplify right side
    6,093x = 28,618,325.61
  5. Step 5: Solve for x
    x = 28,618,325.61/6,093
  6. Step 6: Final answer
    x = 4,696.92

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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.