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Finding the Fourth Proportional to 6,903.36, 9,532 and 4,252

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Solution

The fourth proportional to 6,903.36, 9,532 and 4,252 is: 5,871.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.36 : 9,532 = 4,252 : x
  2. Step 2: Convert to fraction form
    6,903.36/9,532 = 4,252/x
  3. Step 3: Cross multiply
    6,903.36x = 9,532 × 4,252
  4. Step 4: Simplify right side
    6,903.36x = 40,530,064
  5. Step 5: Solve for x
    x = 40,530,064/6,903.36
  6. Step 6: Final answer
    x = 5,871.06

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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.