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Finding the Fourth Proportional to 8,423.94, 11,624.62 and 4,647.31

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Solution

The fourth proportional to 8,423.94, 11,624.62 and 4,647.31 is: 6,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.94 : 11,624.62 = 4,647.31 : x
  2. Step 2: Convert to fraction form
    8,423.94/11,624.62 = 4,647.31/x
  3. Step 3: Cross multiply
    8,423.94x = 11,624.62 × 4,647.31
  4. Step 4: Simplify right side
    8,423.94x = 54,023,212.77
  5. Step 5: Solve for x
    x = 54,023,212.77/8,423.94
  6. Step 6: Final answer
    x = 6,413.06

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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.