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Finding the Fourth Proportional to 7,391.56, 11,097.02 and 4,942.12

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Solution

The fourth proportional to 7,391.56, 11,097.02 and 4,942.12 is: 7,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.56 : 11,097.02 = 4,942.12 : x
  2. Step 2: Convert to fraction form
    7,391.56/11,097.02 = 4,942.12/x
  3. Step 3: Cross multiply
    7,391.56x = 11,097.02 × 4,942.12
  4. Step 4: Simplify right side
    7,391.56x = 54,842,804.48
  5. Step 5: Solve for x
    x = 54,842,804.48/7,391.56
  6. Step 6: Final answer
    x = 7,419.65

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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.