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Finding the Fourth Proportional to 9,696.39, 13,381.10 and 5,447.53

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Solution

The fourth proportional to 9,696.39, 13,381.10 and 5,447.53 is: 7,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.39 : 13,381.10 = 5,447.53 : x
  2. Step 2: Convert to fraction form
    9,696.39/13,381.10 = 5,447.53/x
  3. Step 3: Cross multiply
    9,696.39x = 13,381.10 × 5,447.53
  4. Step 4: Simplify right side
    9,696.39x = 72,893,943.68
  5. Step 5: Solve for x
    x = 72,893,943.68/9,696.39
  6. Step 6: Final answer
    x = 7,517.64

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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.