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Finding the Fourth Proportional to 14,663, 21,998.14 and 4,274.76

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Solution

The fourth proportional to 14,663, 21,998.14 and 4,274.76 is: 6,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,663 : 21,998.14 = 4,274.76 : x
  2. Step 2: Convert to fraction form
    14,663/21,998.14 = 4,274.76/x
  3. Step 3: Cross multiply
    14,663x = 21,998.14 × 4,274.76
  4. Step 4: Simplify right side
    14,663x = 94,036,768.95
  5. Step 5: Solve for x
    x = 94,036,768.95/14,663
  6. Step 6: Final answer
    x = 6,413.20

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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.