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Finding the Fourth Proportional to 7,054.46, 9,735.24 and 3,910.64

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Solution

The fourth proportional to 7,054.46, 9,735.24 and 3,910.64 is: 5,396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.46 : 9,735.24 = 3,910.64 : x
  2. Step 2: Convert to fraction form
    7,054.46/9,735.24 = 3,910.64/x
  3. Step 3: Cross multiply
    7,054.46x = 9,735.24 × 3,910.64
  4. Step 4: Simplify right side
    7,054.46x = 38,071,018.95
  5. Step 5: Solve for x
    x = 38,071,018.95/7,054.46
  6. Step 6: Final answer
    x = 5,396.73

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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.