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Finding the Fourth Proportional to 8,537.94, 12,804.48 and 5,413.23

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Solution

The fourth proportional to 8,537.94, 12,804.48 and 5,413.23 is: 8,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.94 : 12,804.48 = 5,413.23 : x
  2. Step 2: Convert to fraction form
    8,537.94/12,804.48 = 5,413.23/x
  3. Step 3: Cross multiply
    8,537.94x = 12,804.48 × 5,413.23
  4. Step 4: Simplify right side
    8,537.94x = 69,313,595.27
  5. Step 5: Solve for x
    x = 69,313,595.27/8,537.94
  6. Step 6: Final answer
    x = 8,118.30

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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.