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Finding the Fourth Proportional to 25,113, 37,670.22 and 6,645

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Solution

The fourth proportional to 25,113, 37,670.22 and 6,645 is: 9,967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,113 : 37,670.22 = 6,645 : x
  2. Step 2: Convert to fraction form
    25,113/37,670.22 = 6,645/x
  3. Step 3: Cross multiply
    25,113x = 37,670.22 × 6,645
  4. Step 4: Simplify right side
    25,113x = 250,318,611.90
  5. Step 5: Solve for x
    x = 250,318,611.90/25,113
  6. Step 6: Final answer
    x = 9,967.69

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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.