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Finding the Fourth Proportional to 14,644, 21,966.08 and 3,700

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Solution

The fourth proportional to 14,644, 21,966.08 and 3,700 is: 5,550.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644 : 21,966.08 = 3,700 : x
  2. Step 2: Convert to fraction form
    14,644/21,966.08 = 3,700/x
  3. Step 3: Cross multiply
    14,644x = 21,966.08 × 3,700
  4. Step 4: Simplify right side
    14,644x = 81,274,496
  5. Step 5: Solve for x
    x = 81,274,496/14,644
  6. Step 6: Final answer
    x = 5,550.02

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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.