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Finding the Fourth Proportional to 6,954.05, 9,596.62 and 3,810.24

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Solution

The fourth proportional to 6,954.05, 9,596.62 and 3,810.24 is: 5,258.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.05 : 9,596.62 = 3,810.24 : x
  2. Step 2: Convert to fraction form
    6,954.05/9,596.62 = 3,810.24/x
  3. Step 3: Cross multiply
    6,954.05x = 9,596.62 × 3,810.24
  4. Step 4: Simplify right side
    6,954.05x = 36,565,425.39
  5. Step 5: Solve for x
    x = 36,565,425.39/6,954.05
  6. Step 6: Final answer
    x = 5,258.15

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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.