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Finding the Fourth Proportional to 6,197.41, 9,304.32 and 3,703.21

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Solution

The fourth proportional to 6,197.41, 9,304.32 and 3,703.21 is: 5,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.41 : 9,304.32 = 3,703.21 : x
  2. Step 2: Convert to fraction form
    6,197.41/9,304.32 = 3,703.21/x
  3. Step 3: Cross multiply
    6,197.41x = 9,304.32 × 3,703.21
  4. Step 4: Simplify right side
    6,197.41x = 34,455,807.58
  5. Step 5: Solve for x
    x = 34,455,807.58/6,197.41
  6. Step 6: Final answer
    x = 5,559.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.