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Finding the Fourth Proportional to 16,330.72, 24,497 and 4,643

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Solution

The fourth proportional to 16,330.72, 24,497 and 4,643 is: 6,964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,330.72 : 24,497 = 4,643 : x
  2. Step 2: Convert to fraction form
    16,330.72/24,497 = 4,643/x
  3. Step 3: Cross multiply
    16,330.72x = 24,497 × 4,643
  4. Step 4: Simplify right side
    16,330.72x = 113,739,571
  5. Step 5: Solve for x
    x = 113,739,571/16,330.72
  6. Step 6: Final answer
    x = 6,964.76

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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.