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Finding the Fourth Proportional to 4,362.28, 6,019 and 2,473.64

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Solution

The fourth proportional to 4,362.28, 6,019 and 2,473.64 is: 3,413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.28 : 6,019 = 2,473.64 : x
  2. Step 2: Convert to fraction form
    4,362.28/6,019 = 2,473.64/x
  3. Step 3: Cross multiply
    4,362.28x = 6,019 × 2,473.64
  4. Step 4: Simplify right side
    4,362.28x = 14,888,839.16
  5. Step 5: Solve for x
    x = 14,888,839.16/4,362.28
  6. Step 6: Final answer
    x = 3,413.09

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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.