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Finding the Fourth Proportional to 9,107.82, 13,655.25 and 7,354.98

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Solution

The fourth proportional to 9,107.82, 13,655.25 and 7,354.98 is: 11,027.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.82 : 13,655.25 = 7,354.98 : x
  2. Step 2: Convert to fraction form
    9,107.82/13,655.25 = 7,354.98/x
  3. Step 3: Cross multiply
    9,107.82x = 13,655.25 × 7,354.98
  4. Step 4: Simplify right side
    9,107.82x = 100,434,090.65
  5. Step 5: Solve for x
    x = 100,434,090.65/9,107.82
  6. Step 6: Final answer
    x = 11,027.24

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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.