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Finding the Fourth Proportional to 14,871, 22,315.14 and 6,663

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Solution

The fourth proportional to 14,871, 22,315.14 and 6,663 is: 9,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871 : 22,315.14 = 6,663 : x
  2. Step 2: Convert to fraction form
    14,871/22,315.14 = 6,663/x
  3. Step 3: Cross multiply
    14,871x = 22,315.14 × 6,663
  4. Step 4: Simplify right side
    14,871x = 148,685,777.82
  5. Step 5: Solve for x
    x = 148,685,777.82/14,871
  6. Step 6: Final answer
    x = 9,998.37

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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.