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Finding the Fourth Proportional to 6,189.84, 9,284.85 and 2,294.25

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Solution

The fourth proportional to 6,189.84, 9,284.85 and 2,294.25 is: 3,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.84 : 9,284.85 = 2,294.25 : x
  2. Step 2: Convert to fraction form
    6,189.84/9,284.85 = 2,294.25/x
  3. Step 3: Cross multiply
    6,189.84x = 9,284.85 × 2,294.25
  4. Step 4: Simplify right side
    6,189.84x = 21,301,758.51
  5. Step 5: Solve for x
    x = 21,301,758.51/6,189.84
  6. Step 6: Final answer
    x = 3,441.40

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.