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Finding the Fourth Proportional to 6,413.80, 8,853.06 and 3,762.28

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Solution

The fourth proportional to 6,413.80, 8,853.06 and 3,762.28 is: 5,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.80 : 8,853.06 = 3,762.28 : x
  2. Step 2: Convert to fraction form
    6,413.80/8,853.06 = 3,762.28/x
  3. Step 3: Cross multiply
    6,413.80x = 8,853.06 × 3,762.28
  4. Step 4: Simplify right side
    6,413.80x = 33,307,690.58
  5. Step 5: Solve for x
    x = 33,307,690.58/6,413.80
  6. Step 6: Final answer
    x = 5,193.13

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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.