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Finding the Fourth Proportional to 13,473, 18,594 and 7,884

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Solution

The fourth proportional to 13,473, 18,594 and 7,884 is: 10,880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473 : 18,594 = 7,884 : x
  2. Step 2: Convert to fraction form
    13,473/18,594 = 7,884/x
  3. Step 3: Cross multiply
    13,473x = 18,594 × 7,884
  4. Step 4: Simplify right side
    13,473x = 146,595,096
  5. Step 5: Solve for x
    x = 146,595,096/13,473
  6. Step 6: Final answer
    x = 10,880.66

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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.