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Finding the Fourth Proportional to 6,618.24, 9,929.64 and 4,405.95

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Solution

The fourth proportional to 6,618.24, 9,929.64 and 4,405.95 is: 6,610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,618.24 : 9,929.64 = 4,405.95 : x
  2. Step 2: Convert to fraction form
    6,618.24/9,929.64 = 4,405.95/x
  3. Step 3: Cross multiply
    6,618.24x = 9,929.64 × 4,405.95
  4. Step 4: Simplify right side
    6,618.24x = 43,749,497.36
  5. Step 5: Solve for x
    x = 43,749,497.36/6,618.24
  6. Step 6: Final answer
    x = 6,610.44

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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.