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Finding the Fourth Proportional to 7,096.36, 9,796.02 and 4,443.20

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Solution

The fourth proportional to 7,096.36, 9,796.02 and 4,443.20 is: 6,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.36 : 9,796.02 = 4,443.20 : x
  2. Step 2: Convert to fraction form
    7,096.36/9,796.02 = 4,443.20/x
  3. Step 3: Cross multiply
    7,096.36x = 9,796.02 × 4,443.20
  4. Step 4: Simplify right side
    7,096.36x = 43,525,676.06
  5. Step 5: Solve for x
    x = 43,525,676.06/7,096.36
  6. Step 6: Final answer
    x = 6,133.52

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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.