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Finding the Fourth Proportional to 8,274.12, 12,413.22 and 4,116.12

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Solution

The fourth proportional to 8,274.12, 12,413.22 and 4,116.12 is: 6,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.12 : 12,413.22 = 4,116.12 : x
  2. Step 2: Convert to fraction form
    8,274.12/12,413.22 = 4,116.12/x
  3. Step 3: Cross multiply
    8,274.12x = 12,413.22 × 4,116.12
  4. Step 4: Simplify right side
    8,274.12x = 51,094,303.11
  5. Step 5: Solve for x
    x = 51,094,303.11/8,274.12
  6. Step 6: Final answer
    x = 6,175.19

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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.