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Finding the Fourth Proportional to 6,413.90, 9,608.29 and 5,717.30

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Solution

The fourth proportional to 6,413.90, 9,608.29 and 5,717.30 is: 8,564.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.90 : 9,608.29 = 5,717.30 : x
  2. Step 2: Convert to fraction form
    6,413.90/9,608.29 = 5,717.30/x
  3. Step 3: Cross multiply
    6,413.90x = 9,608.29 × 5,717.30
  4. Step 4: Simplify right side
    6,413.90x = 54,933,476.42
  5. Step 5: Solve for x
    x = 54,933,476.42/6,413.90
  6. Step 6: Final answer
    x = 8,564.75

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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.