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Finding the Fourth Proportional to 6,660.52, 9,977.82 and 4,345

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Solution

The fourth proportional to 6,660.52, 9,977.82 and 4,345 is: 6,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,660.52 : 9,977.82 = 4,345 : x
  2. Step 2: Convert to fraction form
    6,660.52/9,977.82 = 4,345/x
  3. Step 3: Cross multiply
    6,660.52x = 9,977.82 × 4,345
  4. Step 4: Simplify right side
    6,660.52x = 43,353,627.90
  5. Step 5: Solve for x
    x = 43,353,627.90/6,660.52
  6. Step 6: Final answer
    x = 6,509.05

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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.