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Finding the Fourth Proportional to 34,898, 52,356.60 and 10,274

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Solution

The fourth proportional to 34,898, 52,356.60 and 10,274 is: 15,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,898 : 52,356.60 = 10,274 : x
  2. Step 2: Convert to fraction form
    34,898/52,356.60 = 10,274/x
  3. Step 3: Cross multiply
    34,898x = 52,356.60 × 10,274
  4. Step 4: Simplify right side
    34,898x = 537,911,708.40
  5. Step 5: Solve for x
    x = 537,911,708.40/34,898
  6. Step 6: Final answer
    x = 15,413.83

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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.