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Finding the Fourth Proportional to 6,406.57, 9,604.63 and 4,300.36

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Solution

The fourth proportional to 6,406.57, 9,604.63 and 4,300.36 is: 6,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.57 : 9,604.63 = 4,300.36 : x
  2. Step 2: Convert to fraction form
    6,406.57/9,604.63 = 4,300.36/x
  3. Step 3: Cross multiply
    6,406.57x = 9,604.63 × 4,300.36
  4. Step 4: Simplify right side
    6,406.57x = 41,303,366.67
  5. Step 5: Solve for x
    x = 41,303,366.67/6,406.57
  6. Step 6: Final answer
    x = 6,447.03

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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.