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Finding the Fourth Proportional to 6,397, 8,827.86 and 4,537.24

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Solution

The fourth proportional to 6,397, 8,827.86 and 4,537.24 is: 6,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397 : 8,827.86 = 4,537.24 : x
  2. Step 2: Convert to fraction form
    6,397/8,827.86 = 4,537.24/x
  3. Step 3: Cross multiply
    6,397x = 8,827.86 × 4,537.24
  4. Step 4: Simplify right side
    6,397x = 40,054,119.51
  5. Step 5: Solve for x
    x = 40,054,119.51/6,397
  6. Step 6: Final answer
    x = 6,261.39

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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.