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Finding the Fourth Proportional to 6,467.50, 9,700.44 and 2,956.48

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Solution

The fourth proportional to 6,467.50, 9,700.44 and 2,956.48 is: 4,434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.50 : 9,700.44 = 2,956.48 : x
  2. Step 2: Convert to fraction form
    6,467.50/9,700.44 = 2,956.48/x
  3. Step 3: Cross multiply
    6,467.50x = 9,700.44 × 2,956.48
  4. Step 4: Simplify right side
    6,467.50x = 28,679,156.85
  5. Step 5: Solve for x
    x = 28,679,156.85/6,467.50
  6. Step 6: Final answer
    x = 4,434.35

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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.