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Finding the Fourth Proportional to 14,175, 21,262.68 and 4,941

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Solution

The fourth proportional to 14,175, 21,262.68 and 4,941 is: 7,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175 : 21,262.68 = 4,941 : x
  2. Step 2: Convert to fraction form
    14,175/21,262.68 = 4,941/x
  3. Step 3: Cross multiply
    14,175x = 21,262.68 × 4,941
  4. Step 4: Simplify right side
    14,175x = 105,058,901.88
  5. Step 5: Solve for x
    x = 105,058,901.88/14,175
  6. Step 6: Final answer
    x = 7,411.56

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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.