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Finding the Fourth Proportional to 7,096.11, 9,783.09 and 4,968.78

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Solution

The fourth proportional to 7,096.11, 9,783.09 and 4,968.78 is: 6,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.11 : 9,783.09 = 4,968.78 : x
  2. Step 2: Convert to fraction form
    7,096.11/9,783.09 = 4,968.78/x
  3. Step 3: Cross multiply
    7,096.11x = 9,783.09 × 4,968.78
  4. Step 4: Simplify right side
    7,096.11x = 48,610,021.93
  5. Step 5: Solve for x
    x = 48,610,021.93/7,096.11
  6. Step 6: Final answer
    x = 6,850.24

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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.