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Finding the Fourth Proportional to 6,652.32, 9,964.16 and 3,137.05

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Solution

The fourth proportional to 6,652.32, 9,964.16 and 3,137.05 is: 4,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.32 : 9,964.16 = 3,137.05 : x
  2. Step 2: Convert to fraction form
    6,652.32/9,964.16 = 3,137.05/x
  3. Step 3: Cross multiply
    6,652.32x = 9,964.16 × 3,137.05
  4. Step 4: Simplify right side
    6,652.32x = 31,258,068.13
  5. Step 5: Solve for x
    x = 31,258,068.13/6,652.32
  6. Step 6: Final answer
    x = 4,698.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.