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Finding the Fourth Proportional to 7,105.12, 9,804.24 and 3,961.20

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Solution

The fourth proportional to 7,105.12, 9,804.24 and 3,961.20 is: 5,466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.12 : 9,804.24 = 3,961.20 : x
  2. Step 2: Convert to fraction form
    7,105.12/9,804.24 = 3,961.20/x
  3. Step 3: Cross multiply
    7,105.12x = 9,804.24 × 3,961.20
  4. Step 4: Simplify right side
    7,105.12x = 38,836,555.49
  5. Step 5: Solve for x
    x = 38,836,555.49/7,105.12
  6. Step 6: Final answer
    x = 5,466.00

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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.