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Finding the Fourth Proportional to 9,696.10, 13,382.09 and 5,921.47

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Solution

The fourth proportional to 9,696.10, 13,382.09 and 5,921.47 is: 8,172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.10 : 13,382.09 = 5,921.47 : x
  2. Step 2: Convert to fraction form
    9,696.10/13,382.09 = 5,921.47/x
  3. Step 3: Cross multiply
    9,696.10x = 13,382.09 × 5,921.47
  4. Step 4: Simplify right side
    9,696.10x = 79,241,644.47
  5. Step 5: Solve for x
    x = 79,241,644.47/9,696.10
  6. Step 6: Final answer
    x = 8,172.53

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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.