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Finding the Fourth Proportional to 6,346, 9,512.52 and 2,650.24

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Solution

The fourth proportional to 6,346, 9,512.52 and 2,650.24 is: 3,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346 : 9,512.52 = 2,650.24 : x
  2. Step 2: Convert to fraction form
    6,346/9,512.52 = 2,650.24/x
  3. Step 3: Cross multiply
    6,346x = 9,512.52 × 2,650.24
  4. Step 4: Simplify right side
    6,346x = 25,210,461.00
  5. Step 5: Solve for x
    x = 25,210,461.00/6,346
  6. Step 6: Final answer
    x = 3,972.65

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