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Finding the Fourth Proportional to 10,573.16, 14,589 and 6,845

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Solution

The fourth proportional to 10,573.16, 14,589 and 6,845 is: 9,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.16 : 14,589 = 6,845 : x
  2. Step 2: Convert to fraction form
    10,573.16/14,589 = 6,845/x
  3. Step 3: Cross multiply
    10,573.16x = 14,589 × 6,845
  4. Step 4: Simplify right side
    10,573.16x = 99,861,705
  5. Step 5: Solve for x
    x = 99,861,705/10,573.16
  6. Step 6: Final answer
    x = 9,444.83

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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.