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Finding the Fourth Proportional to 10,673.29, 15,999 and 4,097.71

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Solution

The fourth proportional to 10,673.29, 15,999 and 4,097.71 is: 6,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.29 : 15,999 = 4,097.71 : x
  2. Step 2: Convert to fraction form
    10,673.29/15,999 = 4,097.71/x
  3. Step 3: Cross multiply
    10,673.29x = 15,999 × 4,097.71
  4. Step 4: Simplify right side
    10,673.29x = 65,559,262.29
  5. Step 5: Solve for x
    x = 65,559,262.29/10,673.29
  6. Step 6: Final answer
    x = 6,142.37

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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.