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Finding the Fourth Proportional to 14,645, 21,967.58 and 3,701

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Solution

The fourth proportional to 14,645, 21,967.58 and 3,701 is: 5,551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645 : 21,967.58 = 3,701 : x
  2. Step 2: Convert to fraction form
    14,645/21,967.58 = 3,701/x
  3. Step 3: Cross multiply
    14,645x = 21,967.58 × 3,701
  4. Step 4: Simplify right side
    14,645x = 81,302,013.58
  5. Step 5: Solve for x
    x = 81,302,013.58/14,645
  6. Step 6: Final answer
    x = 5,551.52

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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.