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Finding the Fourth Proportional to 12,594, 18,893.97 and 4,696.77

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Solution

The fourth proportional to 12,594, 18,893.97 and 4,696.77 is: 7,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594 : 18,893.97 = 4,696.77 : x
  2. Step 2: Convert to fraction form
    12,594/18,893.97 = 4,696.77/x
  3. Step 3: Cross multiply
    12,594x = 18,893.97 × 4,696.77
  4. Step 4: Simplify right side
    12,594x = 88,740,631.48
  5. Step 5: Solve for x
    x = 88,740,631.48/12,594
  6. Step 6: Final answer
    x = 7,046.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.