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Finding the Fourth Proportional to 7,023.98, 10,535.97 and 2,093.50

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Solution

The fourth proportional to 7,023.98, 10,535.97 and 2,093.50 is: 3,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.98 : 10,535.97 = 2,093.50 : x
  2. Step 2: Convert to fraction form
    7,023.98/10,535.97 = 2,093.50/x
  3. Step 3: Cross multiply
    7,023.98x = 10,535.97 × 2,093.50
  4. Step 4: Simplify right side
    7,023.98x = 22,056,990.05
  5. Step 5: Solve for x
    x = 22,056,990.05/7,023.98
  6. Step 6: Final answer
    x = 3,140.24

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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.