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Finding the Fourth Proportional to 6,496.64, 9,735.99 and 2,977.89

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Solution

The fourth proportional to 6,496.64, 9,735.99 and 2,977.89 is: 4,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.64 : 9,735.99 = 2,977.89 : x
  2. Step 2: Convert to fraction form
    6,496.64/9,735.99 = 2,977.89/x
  3. Step 3: Cross multiply
    6,496.64x = 9,735.99 × 2,977.89
  4. Step 4: Simplify right side
    6,496.64x = 28,992,707.26
  5. Step 5: Solve for x
    x = 28,992,707.26/6,496.64
  6. Step 6: Final answer
    x = 4,462.72

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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.