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Finding the Fourth Proportional to 8,270.64, 11,413.17 and 4,734.18

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Solution

The fourth proportional to 8,270.64, 11,413.17 and 4,734.18 is: 6,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.64 : 11,413.17 = 4,734.18 : x
  2. Step 2: Convert to fraction form
    8,270.64/11,413.17 = 4,734.18/x
  3. Step 3: Cross multiply
    8,270.64x = 11,413.17 × 4,734.18
  4. Step 4: Simplify right side
    8,270.64x = 54,032,001.15
  5. Step 5: Solve for x
    x = 54,032,001.15/8,270.64
  6. Step 6: Final answer
    x = 6,532.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.