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Finding the Fourth Proportional to 6,196, 9,295.44 and 4,461.52

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Solution

The fourth proportional to 6,196, 9,295.44 and 4,461.52 is: 6,693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196 : 9,295.44 = 4,461.52 : x
  2. Step 2: Convert to fraction form
    6,196/9,295.44 = 4,461.52/x
  3. Step 3: Cross multiply
    6,196x = 9,295.44 × 4,461.52
  4. Step 4: Simplify right side
    6,196x = 41,471,791.47
  5. Step 5: Solve for x
    x = 41,471,791.47/6,196
  6. Step 6: Final answer
    x = 6,693.32

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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.