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Finding the Fourth Proportional to 6,146.96, 8,483.04 and 3,494.61

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Solution

The fourth proportional to 6,146.96, 8,483.04 and 3,494.61 is: 4,822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.96 : 8,483.04 = 3,494.61 : x
  2. Step 2: Convert to fraction form
    6,146.96/8,483.04 = 3,494.61/x
  3. Step 3: Cross multiply
    6,146.96x = 8,483.04 × 3,494.61
  4. Step 4: Simplify right side
    6,146.96x = 29,644,916.41
  5. Step 5: Solve for x
    x = 29,644,916.41/6,146.96
  6. Step 6: Final answer
    x = 4,822.70

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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.