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Finding the Fourth Proportional to 6,434.64, 9,658.44 and 4,698

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Solution

The fourth proportional to 6,434.64, 9,658.44 and 4,698 is: 7,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.64 : 9,658.44 = 4,698 : x
  2. Step 2: Convert to fraction form
    6,434.64/9,658.44 = 4,698/x
  3. Step 3: Cross multiply
    6,434.64x = 9,658.44 × 4,698
  4. Step 4: Simplify right side
    6,434.64x = 45,375,351.12
  5. Step 5: Solve for x
    x = 45,375,351.12/6,434.64
  6. Step 6: Final answer
    x = 7,051.73

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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.