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Finding the Fourth Proportional to 7,601.44, 11,402.16 and 2,054.80

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Solution

The fourth proportional to 7,601.44, 11,402.16 and 2,054.80 is: 3,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.44 : 11,402.16 = 2,054.80 : x
  2. Step 2: Convert to fraction form
    7,601.44/11,402.16 = 2,054.80/x
  3. Step 3: Cross multiply
    7,601.44x = 11,402.16 × 2,054.80
  4. Step 4: Simplify right side
    7,601.44x = 23,429,158.37
  5. Step 5: Solve for x
    x = 23,429,158.37/7,601.44
  6. Step 6: Final answer
    x = 3,082.20

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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.