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Finding the Fourth Proportional to 6,516.24, 8,983.08 and 4,650

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Solution

The fourth proportional to 6,516.24, 8,983.08 and 4,650 is: 6,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.24 : 8,983.08 = 4,650 : x
  2. Step 2: Convert to fraction form
    6,516.24/8,983.08 = 4,650/x
  3. Step 3: Cross multiply
    6,516.24x = 8,983.08 × 4,650
  4. Step 4: Simplify right side
    6,516.24x = 41,771,322
  5. Step 5: Solve for x
    x = 41,771,322/6,516.24
  6. Step 6: Final answer
    x = 6,410.34

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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.