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Finding the Fourth Proportional to 9,696.80, 13,387.92 and 7,454.54

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Solution

The fourth proportional to 9,696.80, 13,387.92 and 7,454.54 is: 10,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.80 : 13,387.92 = 7,454.54 : x
  2. Step 2: Convert to fraction form
    9,696.80/13,387.92 = 7,454.54/x
  3. Step 3: Cross multiply
    9,696.80x = 13,387.92 × 7,454.54
  4. Step 4: Simplify right side
    9,696.80x = 99,800,785.16
  5. Step 5: Solve for x
    x = 99,800,785.16/9,696.80
  6. Step 6: Final answer
    x = 10,292.14

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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.