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Finding the Fourth Proportional to 6,518.16, 9,774.96 and 2,134.50

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Solution

The fourth proportional to 6,518.16, 9,774.96 and 2,134.50 is: 3,201.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.16 : 9,774.96 = 2,134.50 : x
  2. Step 2: Convert to fraction form
    6,518.16/9,774.96 = 2,134.50/x
  3. Step 3: Cross multiply
    6,518.16x = 9,774.96 × 2,134.50
  4. Step 4: Simplify right side
    6,518.16x = 20,864,652.12
  5. Step 5: Solve for x
    x = 20,864,652.12/6,518.16
  6. Step 6: Final answer
    x = 3,201.00

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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.