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Finding the Fourth Proportional to 6,953.64, 9,596.14 and 3,809.62

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Solution

The fourth proportional to 6,953.64, 9,596.14 and 3,809.62 is: 5,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.64 : 9,596.14 = 3,809.62 : x
  2. Step 2: Convert to fraction form
    6,953.64/9,596.14 = 3,809.62/x
  3. Step 3: Cross multiply
    6,953.64x = 9,596.14 × 3,809.62
  4. Step 4: Simplify right side
    6,953.64x = 36,557,646.87
  5. Step 5: Solve for x
    x = 36,557,646.87/6,953.64
  6. Step 6: Final answer
    x = 5,257.34

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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.