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Finding the Fourth Proportional to 4,114.70, 6,172 and 1,036.70

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Solution

The fourth proportional to 4,114.70, 6,172 and 1,036.70 is: 1,555.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.70 : 6,172 = 1,036.70 : x
  2. Step 2: Convert to fraction form
    4,114.70/6,172 = 1,036.70/x
  3. Step 3: Cross multiply
    4,114.70x = 6,172 × 1,036.70
  4. Step 4: Simplify right side
    4,114.70x = 6,398,512.40
  5. Step 5: Solve for x
    x = 6,398,512.40/4,114.70
  6. Step 6: Final answer
    x = 1,555.04

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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.