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Finding the Fourth Proportional to 6,252, 8,627.76 and 3,457.68

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Solution

The fourth proportional to 6,252, 8,627.76 and 3,457.68 is: 4,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,252 : 8,627.76 = 3,457.68 : x
  2. Step 2: Convert to fraction form
    6,252/8,627.76 = 3,457.68/x
  3. Step 3: Cross multiply
    6,252x = 8,627.76 × 3,457.68
  4. Step 4: Simplify right side
    6,252x = 29,832,033.20
  5. Step 5: Solve for x
    x = 29,832,033.20/6,252
  6. Step 6: Final answer
    x = 4,771.60

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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.