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Finding the Fourth Proportional to 12,602.70, 18,907.56 and 3,837.60

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Solution

The fourth proportional to 12,602.70, 18,907.56 and 3,837.60 is: 5,757.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.70 : 18,907.56 = 3,837.60 : x
  2. Step 2: Convert to fraction form
    12,602.70/18,907.56 = 3,837.60/x
  3. Step 3: Cross multiply
    12,602.70x = 18,907.56 × 3,837.60
  4. Step 4: Simplify right side
    12,602.70x = 72,559,652.26
  5. Step 5: Solve for x
    x = 72,559,652.26/12,602.70
  6. Step 6: Final answer
    x = 5,757.47

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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.