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Finding the Fourth Proportional to 6,441.64, 9,604.76 and 6,325

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Solution

The fourth proportional to 6,441.64, 9,604.76 and 6,325 is: 9,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.64 : 9,604.76 = 6,325 : x
  2. Step 2: Convert to fraction form
    6,441.64/9,604.76 = 6,325/x
  3. Step 3: Cross multiply
    6,441.64x = 9,604.76 × 6,325
  4. Step 4: Simplify right side
    6,441.64x = 60,750,107
  5. Step 5: Solve for x
    x = 60,750,107/6,441.64
  6. Step 6: Final answer
    x = 9,430.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.