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Finding the Fourth Proportional to 6,574.77, 9,071.73 and 3,923.10

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Solution

The fourth proportional to 6,574.77, 9,071.73 and 3,923.10 is: 5,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.77 : 9,071.73 = 3,923.10 : x
  2. Step 2: Convert to fraction form
    6,574.77/9,071.73 = 3,923.10/x
  3. Step 3: Cross multiply
    6,574.77x = 9,071.73 × 3,923.10
  4. Step 4: Simplify right side
    6,574.77x = 35,589,303.96
  5. Step 5: Solve for x
    x = 35,589,303.96/6,574.77
  6. Step 6: Final answer
    x = 5,413.01

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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.