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Finding the Fourth Proportional to 6,680.42, 9,219.12 and 3,696.46

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Solution

The fourth proportional to 6,680.42, 9,219.12 and 3,696.46 is: 5,101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.42 : 9,219.12 = 3,696.46 : x
  2. Step 2: Convert to fraction form
    6,680.42/9,219.12 = 3,696.46/x
  3. Step 3: Cross multiply
    6,680.42x = 9,219.12 × 3,696.46
  4. Step 4: Simplify right side
    6,680.42x = 34,078,043.74
  5. Step 5: Solve for x
    x = 34,078,043.74/6,680.42
  6. Step 6: Final answer
    x = 5,101.19

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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.