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Finding the Fourth Proportional to 5,309.03, 7,963.55 and 1,413.42

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Solution

The fourth proportional to 5,309.03, 7,963.55 and 1,413.42 is: 2,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.03 : 7,963.55 = 1,413.42 : x
  2. Step 2: Convert to fraction form
    5,309.03/7,963.55 = 1,413.42/x
  3. Step 3: Cross multiply
    5,309.03x = 7,963.55 × 1,413.42
  4. Step 4: Simplify right side
    5,309.03x = 11,255,833.77
  5. Step 5: Solve for x
    x = 11,255,833.77/5,309.03
  6. Step 6: Final answer
    x = 2,120.13

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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.