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Finding the Fourth Proportional to 4,964.14, 7,446.89 and 1,677.57

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Solution

The fourth proportional to 4,964.14, 7,446.89 and 1,677.57 is: 2,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.14 : 7,446.89 = 1,677.57 : x
  2. Step 2: Convert to fraction form
    4,964.14/7,446.89 = 1,677.57/x
  3. Step 3: Cross multiply
    4,964.14x = 7,446.89 × 1,677.57
  4. Step 4: Simplify right side
    4,964.14x = 12,492,679.26
  5. Step 5: Solve for x
    x = 12,492,679.26/4,964.14
  6. Step 6: Final answer
    x = 2,516.58

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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.