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Finding the Fourth Proportional to 13,079, 19,627.32 and 4,871

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Solution

The fourth proportional to 13,079, 19,627.32 and 4,871 is: 7,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,079 : 19,627.32 = 4,871 : x
  2. Step 2: Convert to fraction form
    13,079/19,627.32 = 4,871/x
  3. Step 3: Cross multiply
    13,079x = 19,627.32 × 4,871
  4. Step 4: Simplify right side
    13,079x = 95,604,675.72
  5. Step 5: Solve for x
    x = 95,604,675.72/13,079
  6. Step 6: Final answer
    x = 7,309.78

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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.