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Finding the Fourth Proportional to 6,109.76, 9,164.56 and 2,413.68

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Solution

The fourth proportional to 6,109.76, 9,164.56 and 2,413.68 is: 3,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.76 : 9,164.56 = 2,413.68 : x
  2. Step 2: Convert to fraction form
    6,109.76/9,164.56 = 2,413.68/x
  3. Step 3: Cross multiply
    6,109.76x = 9,164.56 × 2,413.68
  4. Step 4: Simplify right side
    6,109.76x = 22,120,315.18
  5. Step 5: Solve for x
    x = 22,120,315.18/6,109.76
  6. Step 6: Final answer
    x = 3,620.49

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Half scale
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Double scale
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Similar ratio
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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.