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Finding the Fourth Proportional to 6,150.24, 8,483.04 and 4,658.40

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Solution

The fourth proportional to 6,150.24, 8,483.04 and 4,658.40 is: 6,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.24 : 8,483.04 = 4,658.40 : x
  2. Step 2: Convert to fraction form
    6,150.24/8,483.04 = 4,658.40/x
  3. Step 3: Cross multiply
    6,150.24x = 8,483.04 × 4,658.40
  4. Step 4: Simplify right side
    6,150.24x = 39,517,393.54
  5. Step 5: Solve for x
    x = 39,517,393.54/6,150.24
  6. Step 6: Final answer
    x = 6,425.34

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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.