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Finding the Fourth Proportional to 11,573.18, 15,971 and 6,268

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Solution

The fourth proportional to 11,573.18, 15,971 and 6,268 is: 8,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.18 : 15,971 = 6,268 : x
  2. Step 2: Convert to fraction form
    11,573.18/15,971 = 6,268/x
  3. Step 3: Cross multiply
    11,573.18x = 15,971 × 6,268
  4. Step 4: Simplify right side
    11,573.18x = 100,106,228
  5. Step 5: Solve for x
    x = 100,106,228/11,573.18
  6. Step 6: Final answer
    x = 8,649.85

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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.