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Finding the Fourth Proportional to 9,698.70, 14,536.68 and 4,493.64

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Solution

The fourth proportional to 9,698.70, 14,536.68 and 4,493.64 is: 6,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.70 : 14,536.68 = 4,493.64 : x
  2. Step 2: Convert to fraction form
    9,698.70/14,536.68 = 4,493.64/x
  3. Step 3: Cross multiply
    9,698.70x = 14,536.68 × 4,493.64
  4. Step 4: Simplify right side
    9,698.70x = 65,322,606.72
  5. Step 5: Solve for x
    x = 65,322,606.72/9,698.70
  6. Step 6: Final answer
    x = 6,735.19

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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.