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Finding the Fourth Proportional to 6,697.57, 10,052.58 and 3,413.13

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Solution

The fourth proportional to 6,697.57, 10,052.58 and 3,413.13 is: 5,122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.57 : 10,052.58 = 3,413.13 : x
  2. Step 2: Convert to fraction form
    6,697.57/10,052.58 = 3,413.13/x
  3. Step 3: Cross multiply
    6,697.57x = 10,052.58 × 3,413.13
  4. Step 4: Simplify right side
    6,697.57x = 34,310,762.38
  5. Step 5: Solve for x
    x = 34,310,762.38/6,697.57
  6. Step 6: Final answer
    x = 5,122.87

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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.