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Finding the Fourth Proportional to 10,369.13, 14,309.41 and 5,653.41

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Solution

The fourth proportional to 10,369.13, 14,309.41 and 5,653.41 is: 7,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.13 : 14,309.41 = 5,653.41 : x
  2. Step 2: Convert to fraction form
    10,369.13/14,309.41 = 5,653.41/x
  3. Step 3: Cross multiply
    10,369.13x = 14,309.41 × 5,653.41
  4. Step 4: Simplify right side
    10,369.13x = 80,896,961.59
  5. Step 5: Solve for x
    x = 80,896,961.59/10,369.13
  6. Step 6: Final answer
    x = 7,801.71

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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.