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Finding the Fourth Proportional to 9,003.50, 13,505.31 and 2,847.50

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Solution

The fourth proportional to 9,003.50, 13,505.31 and 2,847.50 is: 4,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003.50 : 13,505.31 = 2,847.50 : x
  2. Step 2: Convert to fraction form
    9,003.50/13,505.31 = 2,847.50/x
  3. Step 3: Cross multiply
    9,003.50x = 13,505.31 × 2,847.50
  4. Step 4: Simplify right side
    9,003.50x = 38,456,370.23
  5. Step 5: Solve for x
    x = 38,456,370.23/9,003.50
  6. Step 6: Final answer
    x = 4,271.27

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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.