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Finding the Fourth Proportional to 9,722.94, 13,413.45 and 5,946.28

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Solution

The fourth proportional to 9,722.94, 13,413.45 and 5,946.28 is: 8,203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.94 : 13,413.45 = 5,946.28 : x
  2. Step 2: Convert to fraction form
    9,722.94/13,413.45 = 5,946.28/x
  3. Step 3: Cross multiply
    9,722.94x = 13,413.45 × 5,946.28
  4. Step 4: Simplify right side
    9,722.94x = 79,760,129.47
  5. Step 5: Solve for x
    x = 79,760,129.47/9,722.94
  6. Step 6: Final answer
    x = 8,203.29

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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.