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Finding the Fourth Proportional to 6,659.64, 9,983.07 and 2,962.35

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Solution

The fourth proportional to 6,659.64, 9,983.07 and 2,962.35 is: 4,440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.64 : 9,983.07 = 2,962.35 : x
  2. Step 2: Convert to fraction form
    6,659.64/9,983.07 = 2,962.35/x
  3. Step 3: Cross multiply
    6,659.64x = 9,983.07 × 2,962.35
  4. Step 4: Simplify right side
    6,659.64x = 29,573,347.41
  5. Step 5: Solve for x
    x = 29,573,347.41/6,659.64
  6. Step 6: Final answer
    x = 4,440.68

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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.