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Finding the Fourth Proportional to 6,739.92, 10,052.64 and 6,413.04

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Solution

The fourth proportional to 6,739.92, 10,052.64 and 6,413.04 is: 9,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.92 : 10,052.64 = 6,413.04 : x
  2. Step 2: Convert to fraction form
    6,739.92/10,052.64 = 6,413.04/x
  3. Step 3: Cross multiply
    6,739.92x = 10,052.64 × 6,413.04
  4. Step 4: Simplify right side
    6,739.92x = 64,467,982.43
  5. Step 5: Solve for x
    x = 64,467,982.43/6,739.92
  6. Step 6: Final answer
    x = 9,565.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.