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Finding the Fourth Proportional to 8,657, 12,974.54 and 5,535.80

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Solution

The fourth proportional to 8,657, 12,974.54 and 5,535.80 is: 8,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657 : 12,974.54 = 5,535.80 : x
  2. Step 2: Convert to fraction form
    8,657/12,974.54 = 5,535.80/x
  3. Step 3: Cross multiply
    8,657x = 12,974.54 × 5,535.80
  4. Step 4: Simplify right side
    8,657x = 71,824,458.53
  5. Step 5: Solve for x
    x = 71,824,458.53/8,657
  6. Step 6: Final answer
    x = 8,296.69

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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.