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Finding the Fourth Proportional to 9,143.28, 13,706.28 and 3,600.24

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Solution

The fourth proportional to 9,143.28, 13,706.28 and 3,600.24 is: 5,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.28 : 13,706.28 = 3,600.24 : x
  2. Step 2: Convert to fraction form
    9,143.28/13,706.28 = 3,600.24/x
  3. Step 3: Cross multiply
    9,143.28x = 13,706.28 × 3,600.24
  4. Step 4: Simplify right side
    9,143.28x = 49,345,897.51
  5. Step 5: Solve for x
    x = 49,345,897.51/9,143.28
  6. Step 6: Final answer
    x = 5,396.96

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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.