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Finding the Fourth Proportional to 6,409.44, 9,604.44 and 4,758.27

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Solution

The fourth proportional to 6,409.44, 9,604.44 and 4,758.27 is: 7,130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.44 : 9,604.44 = 4,758.27 : x
  2. Step 2: Convert to fraction form
    6,409.44/9,604.44 = 4,758.27/x
  3. Step 3: Cross multiply
    6,409.44x = 9,604.44 × 4,758.27
  4. Step 4: Simplify right side
    6,409.44x = 45,700,518.72
  5. Step 5: Solve for x
    x = 45,700,518.72/6,409.44
  6. Step 6: Final answer
    x = 7,130.19

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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.