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Finding the Fourth Proportional to 6,599, 9,106.62 and 3,655

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Solution

The fourth proportional to 6,599, 9,106.62 and 3,655 is: 5,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599 : 9,106.62 = 3,655 : x
  2. Step 2: Convert to fraction form
    6,599/9,106.62 = 3,655/x
  3. Step 3: Cross multiply
    6,599x = 9,106.62 × 3,655
  4. Step 4: Simplify right side
    6,599x = 33,284,696.10
  5. Step 5: Solve for x
    x = 33,284,696.10/6,599
  6. Step 6: Final answer
    x = 5,043.90

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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.