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Finding the Fourth Proportional to 5,969.56, 8,949.57 and 3,006.40

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Solution

The fourth proportional to 5,969.56, 8,949.57 and 3,006.40 is: 4,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.56 : 8,949.57 = 3,006.40 : x
  2. Step 2: Convert to fraction form
    5,969.56/8,949.57 = 3,006.40/x
  3. Step 3: Cross multiply
    5,969.56x = 8,949.57 × 3,006.40
  4. Step 4: Simplify right side
    5,969.56x = 26,905,987.25
  5. Step 5: Solve for x
    x = 26,905,987.25/5,969.56
  6. Step 6: Final answer
    x = 4,507.20

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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.