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Finding the Fourth Proportional to 10,446.68, 14,413.74 and 6,251.96

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Solution

The fourth proportional to 10,446.68, 14,413.74 and 6,251.96 is: 8,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.68 : 14,413.74 = 6,251.96 : x
  2. Step 2: Convert to fraction form
    10,446.68/14,413.74 = 6,251.96/x
  3. Step 3: Cross multiply
    10,446.68x = 14,413.74 × 6,251.96
  4. Step 4: Simplify right side
    10,446.68x = 90,114,125.93
  5. Step 5: Solve for x
    x = 90,114,125.93/10,446.68
  6. Step 6: Final answer
    x = 8,626.10

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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.