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Finding the Fourth Proportional to 9,792.34, 13,516.28 and 5,965.36

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Solution

The fourth proportional to 9,792.34, 13,516.28 and 5,965.36 is: 8,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.34 : 13,516.28 = 5,965.36 : x
  2. Step 2: Convert to fraction form
    9,792.34/13,516.28 = 5,965.36/x
  3. Step 3: Cross multiply
    9,792.34x = 13,516.28 × 5,965.36
  4. Step 4: Simplify right side
    9,792.34x = 80,629,476.06
  5. Step 5: Solve for x
    x = 80,629,476.06/9,792.34
  6. Step 6: Final answer
    x = 8,233.93

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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.