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Finding the Fourth Proportional to 11,797.60, 17,696.40 and 6,602.80

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Solution

The fourth proportional to 11,797.60, 17,696.40 and 6,602.80 is: 9,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.60 : 17,696.40 = 6,602.80 : x
  2. Step 2: Convert to fraction form
    11,797.60/17,696.40 = 6,602.80/x
  3. Step 3: Cross multiply
    11,797.60x = 17,696.40 × 6,602.80
  4. Step 4: Simplify right side
    11,797.60x = 116,845,789.92
  5. Step 5: Solve for x
    x = 116,845,789.92/11,797.60
  6. Step 6: Final answer
    x = 9,904.20

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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.