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Finding the Fourth Proportional to 19,694.16, 29,534.87 and 6,543

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Solution

The fourth proportional to 19,694.16, 29,534.87 and 6,543 is: 9,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.16 : 29,534.87 = 6,543 : x
  2. Step 2: Convert to fraction form
    19,694.16/29,534.87 = 6,543/x
  3. Step 3: Cross multiply
    19,694.16x = 29,534.87 × 6,543
  4. Step 4: Simplify right side
    19,694.16x = 193,246,621.70
  5. Step 5: Solve for x
    x = 193,246,621.70/19,694.16
  6. Step 6: Final answer
    x = 9,812.38

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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.