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Finding the Fourth Proportional to 6,855.44, 9,460.68 and 4,204.31

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Solution

The fourth proportional to 6,855.44, 9,460.68 and 4,204.31 is: 5,802.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.44 : 9,460.68 = 4,204.31 : x
  2. Step 2: Convert to fraction form
    6,855.44/9,460.68 = 4,204.31/x
  3. Step 3: Cross multiply
    6,855.44x = 9,460.68 × 4,204.31
  4. Step 4: Simplify right side
    6,855.44x = 39,775,631.53
  5. Step 5: Solve for x
    x = 39,775,631.53/6,855.44
  6. Step 6: Final answer
    x = 5,802.05

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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.