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Finding the Fourth Proportional to 8,354.94, 11,524.22 and 5,374.52

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Solution

The fourth proportional to 8,354.94, 11,524.22 and 5,374.52 is: 7,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.94 : 11,524.22 = 5,374.52 : x
  2. Step 2: Convert to fraction form
    8,354.94/11,524.22 = 5,374.52/x
  3. Step 3: Cross multiply
    8,354.94x = 11,524.22 × 5,374.52
  4. Step 4: Simplify right side
    8,354.94x = 61,937,150.87
  5. Step 5: Solve for x
    x = 61,937,150.87/8,354.94
  6. Step 6: Final answer
    x = 7,413.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.