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Finding the Fourth Proportional to 6,165.64, 8,507.32 and 3,512.35

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Solution

The fourth proportional to 6,165.64, 8,507.32 and 3,512.35 is: 4,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.64 : 8,507.32 = 3,512.35 : x
  2. Step 2: Convert to fraction form
    6,165.64/8,507.32 = 3,512.35/x
  3. Step 3: Cross multiply
    6,165.64x = 8,507.32 × 3,512.35
  4. Step 4: Simplify right side
    6,165.64x = 29,880,685.40
  5. Step 5: Solve for x
    x = 29,880,685.40/6,165.64
  6. Step 6: Final answer
    x = 4,846.32

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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.