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Finding the Fourth Proportional to 9,245.82, 12,759.21 and 5,054.10

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Solution

The fourth proportional to 9,245.82, 12,759.21 and 5,054.10 is: 6,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.82 : 12,759.21 = 5,054.10 : x
  2. Step 2: Convert to fraction form
    9,245.82/12,759.21 = 5,054.10/x
  3. Step 3: Cross multiply
    9,245.82x = 12,759.21 × 5,054.10
  4. Step 4: Simplify right side
    9,245.82x = 64,486,323.26
  5. Step 5: Solve for x
    x = 64,486,323.26/9,245.82
  6. Step 6: Final answer
    x = 6,974.65

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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.