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Finding the Fourth Proportional to 6,858.49, 9,464.70 and 3,714.68

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Solution

The fourth proportional to 6,858.49, 9,464.70 and 3,714.68 is: 5,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.49 : 9,464.70 = 3,714.68 : x
  2. Step 2: Convert to fraction form
    6,858.49/9,464.70 = 3,714.68/x
  3. Step 3: Cross multiply
    6,858.49x = 9,464.70 × 3,714.68
  4. Step 4: Simplify right side
    6,858.49x = 35,158,331.80
  5. Step 5: Solve for x
    x = 35,158,331.80/6,858.49
  6. Step 6: Final answer
    x = 5,126.25

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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.