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Finding the Fourth Proportional to 9,696.84, 13,377.74 and 6,338.60

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Solution

The fourth proportional to 9,696.84, 13,377.74 and 6,338.60 is: 8,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.84 : 13,377.74 = 6,338.60 : x
  2. Step 2: Convert to fraction form
    9,696.84/13,377.74 = 6,338.60/x
  3. Step 3: Cross multiply
    9,696.84x = 13,377.74 × 6,338.60
  4. Step 4: Simplify right side
    9,696.84x = 84,796,142.76
  5. Step 5: Solve for x
    x = 84,796,142.76/9,696.84
  6. Step 6: Final answer
    x = 8,744.72

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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.