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Finding the Fourth Proportional to 7,804.92, 11,715.46 and 4,524.42

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Solution

The fourth proportional to 7,804.92, 11,715.46 and 4,524.42 is: 6,791.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.92 : 11,715.46 = 4,524.42 : x
  2. Step 2: Convert to fraction form
    7,804.92/11,715.46 = 4,524.42/x
  3. Step 3: Cross multiply
    7,804.92x = 11,715.46 × 4,524.42
  4. Step 4: Simplify right side
    7,804.92x = 53,005,661.53
  5. Step 5: Solve for x
    x = 53,005,661.53/7,804.92
  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.