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Finding the Fourth Proportional to 6,469.40, 9,714.90 and 4,287.80

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Solution

The fourth proportional to 6,469.40, 9,714.90 and 4,287.80 is: 6,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.40 : 9,714.90 = 4,287.80 : x
  2. Step 2: Convert to fraction form
    6,469.40/9,714.90 = 4,287.80/x
  3. Step 3: Cross multiply
    6,469.40x = 9,714.90 × 4,287.80
  4. Step 4: Simplify right side
    6,469.40x = 41,655,548.22
  5. Step 5: Solve for x
    x = 41,655,548.22/6,469.40
  6. Step 6: Final answer
    x = 6,438.86

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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.