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Finding the Fourth Proportional to 9,696.16, 13,381.96 and 5,918.54

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Solution

The fourth proportional to 9,696.16, 13,381.96 and 5,918.54 is: 8,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.16 : 13,381.96 = 5,918.54 : x
  2. Step 2: Convert to fraction form
    9,696.16/13,381.96 = 5,918.54/x
  3. Step 3: Cross multiply
    9,696.16x = 13,381.96 × 5,918.54
  4. Step 4: Simplify right side
    9,696.16x = 79,201,665.54
  5. Step 5: Solve for x
    x = 79,201,665.54/9,696.16
  6. Step 6: Final answer
    x = 8,168.35

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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.