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Finding the Fourth Proportional to 6,523.15, 9,784.73 and 3,232.93

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Solution

The fourth proportional to 6,523.15, 9,784.73 and 3,232.93 is: 4,849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.15 : 9,784.73 = 3,232.93 : x
  2. Step 2: Convert to fraction form
    6,523.15/9,784.73 = 3,232.93/x
  3. Step 3: Cross multiply
    6,523.15x = 9,784.73 × 3,232.93
  4. Step 4: Simplify right side
    6,523.15x = 31,633,306.53
  5. Step 5: Solve for x
    x = 31,633,306.53/6,523.15
  6. Step 6: Final answer
    x = 4,849.39

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Similar ratio
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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.