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Finding the Fourth Proportional to 9,103.93, 13,661.21 and 3,838.63

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Solution

The fourth proportional to 9,103.93, 13,661.21 and 3,838.63 is: 5,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.93 : 13,661.21 = 3,838.63 : x
  2. Step 2: Convert to fraction form
    9,103.93/13,661.21 = 3,838.63/x
  3. Step 3: Cross multiply
    9,103.93x = 13,661.21 × 3,838.63
  4. Step 4: Simplify right side
    9,103.93x = 52,440,330.54
  5. Step 5: Solve for x
    x = 52,440,330.54/9,103.93
  6. Step 6: Final answer
    x = 5,760.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.