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Finding the Fourth Proportional to 7,096.96, 9,787.41 and 4,444.60

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Solution

The fourth proportional to 7,096.96, 9,787.41 and 4,444.60 is: 6,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.96 : 9,787.41 = 4,444.60 : x
  2. Step 2: Convert to fraction form
    7,096.96/9,787.41 = 4,444.60/x
  3. Step 3: Cross multiply
    7,096.96x = 9,787.41 × 4,444.60
  4. Step 4: Simplify right side
    7,096.96x = 43,501,122.49
  5. Step 5: Solve for x
    x = 43,501,122.49/7,096.96
  6. Step 6: Final answer
    x = 6,129.54

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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.