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Finding the Fourth Proportional to 6,534.16, 9,014 and 3,738

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Solution

The fourth proportional to 6,534.16, 9,014 and 3,738 is: 5,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.16 : 9,014 = 3,738 : x
  2. Step 2: Convert to fraction form
    6,534.16/9,014 = 3,738/x
  3. Step 3: Cross multiply
    6,534.16x = 9,014 × 3,738
  4. Step 4: Simplify right side
    6,534.16x = 33,694,332
  5. Step 5: Solve for x
    x = 33,694,332/6,534.16
  6. Step 6: Final answer
    x = 5,156.64

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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.