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Finding the Fourth Proportional to 7,903.83, 11,854.77 and 4,942.54

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Solution

The fourth proportional to 7,903.83, 11,854.77 and 4,942.54 is: 7,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.83 : 11,854.77 = 4,942.54 : x
  2. Step 2: Convert to fraction form
    7,903.83/11,854.77 = 4,942.54/x
  3. Step 3: Cross multiply
    7,903.83x = 11,854.77 × 4,942.54
  4. Step 4: Simplify right side
    7,903.83x = 58,592,674.92
  5. Step 5: Solve for x
    x = 58,592,674.92/7,903.83
  6. Step 6: Final answer
    x = 7,413.20

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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.