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Finding the Fourth Proportional to 7,096.63, 9,784.67 and 4,439.43

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Solution

The fourth proportional to 7,096.63, 9,784.67 and 4,439.43 is: 6,120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.63 : 9,784.67 = 4,439.43 : x
  2. Step 2: Convert to fraction form
    7,096.63/9,784.67 = 4,439.43/x
  3. Step 3: Cross multiply
    7,096.63x = 9,784.67 × 4,439.43
  4. Step 4: Simplify right side
    7,096.63x = 43,438,357.54
  5. Step 5: Solve for x
    x = 43,438,357.54/7,096.63
  6. Step 6: Final answer
    x = 6,120.98

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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.