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Finding the Fourth Proportional to 6,278, 8,663.64 and 3,483.52

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Solution

The fourth proportional to 6,278, 8,663.64 and 3,483.52 is: 4,807.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278 : 8,663.64 = 3,483.52 : x
  2. Step 2: Convert to fraction form
    6,278/8,663.64 = 3,483.52/x
  3. Step 3: Cross multiply
    6,278x = 8,663.64 × 3,483.52
  4. Step 4: Simplify right side
    6,278x = 30,179,963.21
  5. Step 5: Solve for x
    x = 30,179,963.21/6,278
  6. Step 6: Final answer
    x = 4,807.26

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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.