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Finding the Fourth Proportional to 14,948, 22,422 and 4,004

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Solution

The fourth proportional to 14,948, 22,422 and 4,004 is: 6,006

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,948 : 22,422 = 4,004 : x
  2. Step 2: Convert to fraction form
    14,948/22,422 = 4,004/x
  3. Step 3: Cross multiply
    14,948x = 22,422 × 4,004
  4. Step 4: Simplify right side
    14,948x = 89,777,688
  5. Step 5: Solve for x
    x = 89,777,688/14,948
  6. Step 6: Final answer
    x = 6,006

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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.