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Finding the Fourth Proportional to 34,622, 51,941.64 and 9,998

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Solution

The fourth proportional to 34,622, 51,941.64 and 9,998 is: 14,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,622 : 51,941.64 = 9,998 : x
  2. Step 2: Convert to fraction form
    34,622/51,941.64 = 9,998/x
  3. Step 3: Cross multiply
    34,622x = 51,941.64 × 9,998
  4. Step 4: Simplify right side
    34,622x = 519,312,516.72
  5. Step 5: Solve for x
    x = 519,312,516.72/34,622
  6. Step 6: Final answer
    x = 14,999.50

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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.