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Finding the Fourth Proportional to 7,732.04, 11,583.48 and 5,992.16

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Solution

The fourth proportional to 7,732.04, 11,583.48 and 5,992.16 is: 8,976.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.04 : 11,583.48 = 5,992.16 : x
  2. Step 2: Convert to fraction form
    7,732.04/11,583.48 = 5,992.16/x
  3. Step 3: Cross multiply
    7,732.04x = 11,583.48 × 5,992.16
  4. Step 4: Simplify right side
    7,732.04x = 69,410,065.52
  5. Step 5: Solve for x
    x = 69,410,065.52/7,732.04
  6. Step 6: Final answer
    x = 8,976.94

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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.