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Finding the Fourth Proportional to 6,348.72, 9,506.67 and 4,380.42

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Solution

The fourth proportional to 6,348.72, 9,506.67 and 4,380.42 is: 6,559.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.72 : 9,506.67 = 4,380.42 : x
  2. Step 2: Convert to fraction form
    6,348.72/9,506.67 = 4,380.42/x
  3. Step 3: Cross multiply
    6,348.72x = 9,506.67 × 4,380.42
  4. Step 4: Simplify right side
    6,348.72x = 41,643,207.40
  5. Step 5: Solve for x
    x = 41,643,207.40/6,348.72
  6. Step 6: Final answer
    x = 6,559.31

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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.