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Finding the Fourth Proportional to 4,964.26, 7,445.68 and 1,676.92

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Solution

The fourth proportional to 4,964.26, 7,445.68 and 1,676.92 is: 2,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.26 : 7,445.68 = 1,676.92 : x
  2. Step 2: Convert to fraction form
    4,964.26/7,445.68 = 1,676.92/x
  3. Step 3: Cross multiply
    4,964.26x = 7,445.68 × 1,676.92
  4. Step 4: Simplify right side
    4,964.26x = 12,485,809.71
  5. Step 5: Solve for x
    x = 12,485,809.71/4,964.26
  6. Step 6: Final answer
    x = 2,515.14

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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.