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Finding the Fourth Proportional to 7,965.41, 10,993.12 and 4,608.16

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Solution

The fourth proportional to 7,965.41, 10,993.12 and 4,608.16 is: 6,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.41 : 10,993.12 = 4,608.16 : x
  2. Step 2: Convert to fraction form
    7,965.41/10,993.12 = 4,608.16/x
  3. Step 3: Cross multiply
    7,965.41x = 10,993.12 × 4,608.16
  4. Step 4: Simplify right side
    7,965.41x = 50,658,016.86
  5. Step 5: Solve for x
    x = 50,658,016.86/7,965.41
  6. Step 6: Final answer
    x = 6,359.75

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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.