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Finding the Fourth Proportional to 4,626.64, 6,942.30 and 2,435.77

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Solution

The fourth proportional to 4,626.64, 6,942.30 and 2,435.77 is: 3,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.64 : 6,942.30 = 2,435.77 : x
  2. Step 2: Convert to fraction form
    4,626.64/6,942.30 = 2,435.77/x
  3. Step 3: Cross multiply
    4,626.64x = 6,942.30 × 2,435.77
  4. Step 4: Simplify right side
    4,626.64x = 16,909,846.07
  5. Step 5: Solve for x
    x = 16,909,846.07/4,626.64
  6. Step 6: Final answer
    x = 3,654.89

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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.