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Finding the Fourth Proportional to 10,066, 13,891.08 and 5,650

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Solution

The fourth proportional to 10,066, 13,891.08 and 5,650 is: 7,797

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066 : 13,891.08 = 5,650 : x
  2. Step 2: Convert to fraction form
    10,066/13,891.08 = 5,650/x
  3. Step 3: Cross multiply
    10,066x = 13,891.08 × 5,650
  4. Step 4: Simplify right side
    10,066x = 78,484,602
  5. Step 5: Solve for x
    x = 78,484,602/10,066
  6. Step 6: Final answer
    x = 7,797

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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.