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Finding the Fourth Proportional to 7,054.57, 9,734.88 and 3,867.22

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Solution

The fourth proportional to 7,054.57, 9,734.88 and 3,867.22 is: 5,336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.57 : 9,734.88 = 3,867.22 : x
  2. Step 2: Convert to fraction form
    7,054.57/9,734.88 = 3,867.22/x
  3. Step 3: Cross multiply
    7,054.57x = 9,734.88 × 3,867.22
  4. Step 4: Simplify right side
    7,054.57x = 37,646,922.63
  5. Step 5: Solve for x
    x = 37,646,922.63/7,054.57
  6. Step 6: Final answer
    x = 5,336.53

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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.