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Finding the Fourth Proportional to 6,371.04, 9,544.12 and 4,173.10

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Solution

The fourth proportional to 6,371.04, 9,544.12 and 4,173.10 is: 6,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.04 : 9,544.12 = 4,173.10 : x
  2. Step 2: Convert to fraction form
    6,371.04/9,544.12 = 4,173.10/x
  3. Step 3: Cross multiply
    6,371.04x = 9,544.12 × 4,173.10
  4. Step 4: Simplify right side
    6,371.04x = 39,828,567.17
  5. Step 5: Solve for x
    x = 39,828,567.17/6,371.04
  6. Step 6: Final answer
    x = 6,251.50

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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.