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Finding the Fourth Proportional to 13,843.68, 19,107 and 9,649.52

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Solution

The fourth proportional to 13,843.68, 19,107 and 9,649.52 is: 13,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.68 : 19,107 = 9,649.52 : x
  2. Step 2: Convert to fraction form
    13,843.68/19,107 = 9,649.52/x
  3. Step 3: Cross multiply
    13,843.68x = 19,107 × 9,649.52
  4. Step 4: Simplify right side
    13,843.68x = 184,373,378.64
  5. Step 5: Solve for x
    x = 184,373,378.64/13,843.68
  6. Step 6: Final answer
    x = 13,318.23

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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.