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Finding the Fourth Proportional to 10,684.38, 14,741.19 and 6,207.24

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Solution

The fourth proportional to 10,684.38, 14,741.19 and 6,207.24 is: 8,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.38 : 14,741.19 = 6,207.24 : x
  2. Step 2: Convert to fraction form
    10,684.38/14,741.19 = 6,207.24/x
  3. Step 3: Cross multiply
    10,684.38x = 14,741.19 × 6,207.24
  4. Step 4: Simplify right side
    10,684.38x = 91,502,104.22
  5. Step 5: Solve for x
    x = 91,502,104.22/10,684.38
  6. Step 6: Final answer
    x = 8,564.10

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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.