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Finding the Fourth Proportional to 6,274.98, 9,413.16 and 2,763.48

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Solution

The fourth proportional to 6,274.98, 9,413.16 and 2,763.48 is: 4,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.98 : 9,413.16 = 2,763.48 : x
  2. Step 2: Convert to fraction form
    6,274.98/9,413.16 = 2,763.48/x
  3. Step 3: Cross multiply
    6,274.98x = 9,413.16 × 2,763.48
  4. Step 4: Simplify right side
    6,274.98x = 26,013,079.40
  5. Step 5: Solve for x
    x = 26,013,079.40/6,274.98
  6. Step 6: Final answer
    x = 4,145.52

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1.5x scale

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.