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Finding the Fourth Proportional to 6,512.24, 8,977.56 and 4,646

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Solution

The fourth proportional to 6,512.24, 8,977.56 and 4,646 is: 6,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.24 : 8,977.56 = 4,646 : x
  2. Step 2: Convert to fraction form
    6,512.24/8,977.56 = 4,646/x
  3. Step 3: Cross multiply
    6,512.24x = 8,977.56 × 4,646
  4. Step 4: Simplify right side
    6,512.24x = 41,709,743.76
  5. Step 5: Solve for x
    x = 41,709,743.76/6,512.24
  6. Step 6: Final answer
    x = 6,404.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.