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Finding the Fourth Proportional to 6,596, 9,102.48 and 3,652

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Solution

The fourth proportional to 6,596, 9,102.48 and 3,652 is: 5,039.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596 : 9,102.48 = 3,652 : x
  2. Step 2: Convert to fraction form
    6,596/9,102.48 = 3,652/x
  3. Step 3: Cross multiply
    6,596x = 9,102.48 × 3,652
  4. Step 4: Simplify right side
    6,596x = 33,242,256.96
  5. Step 5: Solve for x
    x = 33,242,256.96/6,596
  6. Step 6: Final answer
    x = 5,039.76

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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.