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Finding the Fourth Proportional to 10,169.78, 14,035.62 and 5,695.24

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Solution

The fourth proportional to 10,169.78, 14,035.62 and 5,695.24 is: 7,860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169.78 : 14,035.62 = 5,695.24 : x
  2. Step 2: Convert to fraction form
    10,169.78/14,035.62 = 5,695.24/x
  3. Step 3: Cross multiply
    10,169.78x = 14,035.62 × 5,695.24
  4. Step 4: Simplify right side
    10,169.78x = 79,936,224.45
  5. Step 5: Solve for x
    x = 79,936,224.45/10,169.78
  6. Step 6: Final answer
    x = 7,860.17

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1.5x scale

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.