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Finding the Fourth Proportional to 5,982.56, 8,959.92 and 5,774.92

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Solution

The fourth proportional to 5,982.56, 8,959.92 and 5,774.92 is: 8,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.56 : 8,959.92 = 5,774.92 : x
  2. Step 2: Convert to fraction form
    5,982.56/8,959.92 = 5,774.92/x
  3. Step 3: Cross multiply
    5,982.56x = 8,959.92 × 5,774.92
  4. Step 4: Simplify right side
    5,982.56x = 51,742,821.21
  5. Step 5: Solve for x
    x = 51,742,821.21/5,982.56
  6. Step 6: Final answer
    x = 8,648.94

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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.