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Finding the Fourth Proportional to 8,196.40, 12,294.60 and 3,822.40

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Solution

The fourth proportional to 8,196.40, 12,294.60 and 3,822.40 is: 5,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.40 : 12,294.60 = 3,822.40 : x
  2. Step 2: Convert to fraction form
    8,196.40/12,294.60 = 3,822.40/x
  3. Step 3: Cross multiply
    8,196.40x = 12,294.60 × 3,822.40
  4. Step 4: Simplify right side
    8,196.40x = 46,994,879.04
  5. Step 5: Solve for x
    x = 46,994,879.04/8,196.40
  6. Step 6: Final answer
    x = 5,733.60

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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.