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Finding the Fourth Proportional to 7,474.24, 10,253.84 and 7,003.20

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Solution

The fourth proportional to 7,474.24, 10,253.84 and 7,003.20 is: 9,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.24 : 10,253.84 = 7,003.20 : x
  2. Step 2: Convert to fraction form
    7,474.24/10,253.84 = 7,003.20/x
  3. Step 3: Cross multiply
    7,474.24x = 10,253.84 × 7,003.20
  4. Step 4: Simplify right side
    7,474.24x = 71,809,692.29
  5. Step 5: Solve for x
    x = 71,809,692.29/7,474.24
  6. Step 6: Final answer
    x = 9,607.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.