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Finding the Fourth Proportional to 6,257.16, 8,632.98 and 3,603

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Solution

The fourth proportional to 6,257.16, 8,632.98 and 3,603 is: 4,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.16 : 8,632.98 = 3,603 : x
  2. Step 2: Convert to fraction form
    6,257.16/8,632.98 = 3,603/x
  3. Step 3: Cross multiply
    6,257.16x = 8,632.98 × 3,603
  4. Step 4: Simplify right side
    6,257.16x = 31,104,626.94
  5. Step 5: Solve for x
    x = 31,104,626.94/6,257.16
  6. Step 6: Final answer
    x = 4,971.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.