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Finding the Fourth Proportional to 10,223.01, 14,106.15 and 6,244.29

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Solution

The fourth proportional to 10,223.01, 14,106.15 and 6,244.29 is: 8,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.01 : 14,106.15 = 6,244.29 : x
  2. Step 2: Convert to fraction form
    10,223.01/14,106.15 = 6,244.29/x
  3. Step 3: Cross multiply
    10,223.01x = 14,106.15 × 6,244.29
  4. Step 4: Simplify right side
    10,223.01x = 88,082,891.38
  5. Step 5: Solve for x
    x = 88,082,891.38/10,223.01
  6. Step 6: Final answer
    x = 8,616.14

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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.