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Finding the Fourth Proportional to 12,442.36, 18,656.52 and 4,648

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Solution

The fourth proportional to 12,442.36, 18,656.52 and 4,648 is: 6,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.36 : 18,656.52 = 4,648 : x
  2. Step 2: Convert to fraction form
    12,442.36/18,656.52 = 4,648/x
  3. Step 3: Cross multiply
    12,442.36x = 18,656.52 × 4,648
  4. Step 4: Simplify right side
    12,442.36x = 86,715,504.96
  5. Step 5: Solve for x
    x = 86,715,504.96/12,442.36
  6. Step 6: Final answer
    x = 6,969.38

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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.