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Finding the Fourth Proportional to 5,931.46, 8,186.03 and 3,413.67

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Solution

The fourth proportional to 5,931.46, 8,186.03 and 3,413.67 is: 4,711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.46 : 8,186.03 = 3,413.67 : x
  2. Step 2: Convert to fraction form
    5,931.46/8,186.03 = 3,413.67/x
  3. Step 3: Cross multiply
    5,931.46x = 8,186.03 × 3,413.67
  4. Step 4: Simplify right side
    5,931.46x = 27,944,405.03
  5. Step 5: Solve for x
    x = 27,944,405.03/5,931.46
  6. Step 6: Final answer
    x = 4,711.22

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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.