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Finding the Fourth Proportional to 6,356, 8,771.76 and 3,561.68

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Solution

The fourth proportional to 6,356, 8,771.76 and 3,561.68 is: 4,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356 : 8,771.76 = 3,561.68 : x
  2. Step 2: Convert to fraction form
    6,356/8,771.76 = 3,561.68/x
  3. Step 3: Cross multiply
    6,356x = 8,771.76 × 3,561.68
  4. Step 4: Simplify right side
    6,356x = 31,242,202.16
  5. Step 5: Solve for x
    x = 31,242,202.16/6,356
  6. Step 6: Final answer
    x = 4,915.39

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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.