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Finding the Fourth Proportional to 6,371.04, 9,557.04 and 1,754

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Solution

The fourth proportional to 6,371.04, 9,557.04 and 1,754 is: 2,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.04 : 9,557.04 = 1,754 : x
  2. Step 2: Convert to fraction form
    6,371.04/9,557.04 = 1,754/x
  3. Step 3: Cross multiply
    6,371.04x = 9,557.04 × 1,754
  4. Step 4: Simplify right side
    6,371.04x = 16,763,048.16
  5. Step 5: Solve for x
    x = 16,763,048.16/6,371.04
  6. Step 6: Final answer
    x = 2,631.13

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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.