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Finding the Fourth Proportional to 7,804.91, 11,715.47 and 4,524.41

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Solution

The fourth proportional to 7,804.91, 11,715.47 and 4,524.41 is: 6,791.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.91 : 11,715.47 = 4,524.41 : x
  2. Step 2: Convert to fraction form
    7,804.91/11,715.47 = 4,524.41/x
  3. Step 3: Cross multiply
    7,804.91x = 11,715.47 × 4,524.41
  4. Step 4: Simplify right side
    7,804.91x = 53,005,589.62
  5. Step 5: Solve for x
    x = 53,005,589.62/7,804.91
  6. Step 6: Final answer
    x = 6,791.31

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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.