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Finding the Fourth Proportional to 5,125.70, 7,689.75 and 1,662.95

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Solution

The fourth proportional to 5,125.70, 7,689.75 and 1,662.95 is: 2,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.70 : 7,689.75 = 1,662.95 : x
  2. Step 2: Convert to fraction form
    5,125.70/7,689.75 = 1,662.95/x
  3. Step 3: Cross multiply
    5,125.70x = 7,689.75 × 1,662.95
  4. Step 4: Simplify right side
    5,125.70x = 12,787,631.31
  5. Step 5: Solve for x
    x = 12,787,631.31/5,125.70
  6. Step 6: Final answer
    x = 2,494.81

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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.