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Finding the Fourth Proportional to 19,262, 28,893.82 and 6,114.08

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Solution

The fourth proportional to 19,262, 28,893.82 and 6,114.08 is: 9,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,262 : 28,893.82 = 6,114.08 : x
  2. Step 2: Convert to fraction form
    19,262/28,893.82 = 6,114.08/x
  3. Step 3: Cross multiply
    19,262x = 28,893.82 × 6,114.08
  4. Step 4: Simplify right side
    19,262x = 176,659,126.99
  5. Step 5: Solve for x
    x = 176,659,126.99/19,262
  6. Step 6: Final answer
    x = 9,171.38

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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.