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Finding the Fourth Proportional to 4,114.07, 6,171.10 and 1,036.07

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Solution

The fourth proportional to 4,114.07, 6,171.10 and 1,036.07 is: 1,554.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.07 : 6,171.10 = 1,036.07 : x
  2. Step 2: Convert to fraction form
    4,114.07/6,171.10 = 1,036.07/x
  3. Step 3: Cross multiply
    4,114.07x = 6,171.10 × 1,036.07
  4. Step 4: Simplify right side
    4,114.07x = 6,393,660.72
  5. Step 5: Solve for x
    x = 6,393,660.72/4,114.07
  6. Step 6: Final answer
    x = 1,554.10

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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.