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Finding the Fourth Proportional to 6,306.42, 8,702.49 and 3,653.64

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Solution

The fourth proportional to 6,306.42, 8,702.49 and 3,653.64 is: 5,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.42 : 8,702.49 = 3,653.64 : x
  2. Step 2: Convert to fraction form
    6,306.42/8,702.49 = 3,653.64/x
  3. Step 3: Cross multiply
    6,306.42x = 8,702.49 × 3,653.64
  4. Step 4: Simplify right side
    6,306.42x = 31,795,765.56
  5. Step 5: Solve for x
    x = 31,795,765.56/6,306.42
  6. Step 6: Final answer
    x = 5,041.81

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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.