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Finding the Fourth Proportional to 6,709.68, 9,257.44 and 4,055.16

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Solution

The fourth proportional to 6,709.68, 9,257.44 and 4,055.16 is: 5,594.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.68 : 9,257.44 = 4,055.16 : x
  2. Step 2: Convert to fraction form
    6,709.68/9,257.44 = 4,055.16/x
  3. Step 3: Cross multiply
    6,709.68x = 9,257.44 × 4,055.16
  4. Step 4: Simplify right side
    6,709.68x = 37,540,400.39
  5. Step 5: Solve for x
    x = 37,540,400.39/6,709.68
  6. Step 6: Final answer
    x = 5,594.96

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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.