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Finding the Fourth Proportional to 6,334.16, 8,736.48 and 4,655

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Solution

The fourth proportional to 6,334.16, 8,736.48 and 4,655 is: 6,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.16 : 8,736.48 = 4,655 : x
  2. Step 2: Convert to fraction form
    6,334.16/8,736.48 = 4,655/x
  3. Step 3: Cross multiply
    6,334.16x = 8,736.48 × 4,655
  4. Step 4: Simplify right side
    6,334.16x = 40,668,314.40
  5. Step 5: Solve for x
    x = 40,668,314.40/6,334.16
  6. Step 6: Final answer
    x = 6,420.47

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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.