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Finding the Fourth Proportional to 10,693.62, 14,765.49 and 6,919.43

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Solution

The fourth proportional to 10,693.62, 14,765.49 and 6,919.43 is: 9,554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.62 : 14,765.49 = 6,919.43 : x
  2. Step 2: Convert to fraction form
    10,693.62/14,765.49 = 6,919.43/x
  3. Step 3: Cross multiply
    10,693.62x = 14,765.49 × 6,919.43
  4. Step 4: Simplify right side
    10,693.62x = 102,168,700.64
  5. Step 5: Solve for x
    x = 102,168,700.64/10,693.62
  6. Step 6: Final answer
    x = 9,554.17

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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.