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Finding the Fourth Proportional to 7,813.44, 11,702.72 and 6,046.41

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Solution

The fourth proportional to 7,813.44, 11,702.72 and 6,046.41 is: 9,056.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.44 : 11,702.72 = 6,046.41 : x
  2. Step 2: Convert to fraction form
    7,813.44/11,702.72 = 6,046.41/x
  3. Step 3: Cross multiply
    7,813.44x = 11,702.72 × 6,046.41
  4. Step 4: Simplify right side
    7,813.44x = 70,759,413.00
  5. Step 5: Solve for x
    x = 70,759,413.00/7,813.44
  6. Step 6: Final answer
    x = 9,056.12

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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.