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Finding the Fourth Proportional to 6,263.64, 8,649.68 and 4,029.39

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Solution

The fourth proportional to 6,263.64, 8,649.68 and 4,029.39 is: 5,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,263.64 : 8,649.68 = 4,029.39 : x
  2. Step 2: Convert to fraction form
    6,263.64/8,649.68 = 4,029.39/x
  3. Step 3: Cross multiply
    6,263.64x = 8,649.68 × 4,029.39
  4. Step 4: Simplify right side
    6,263.64x = 34,852,913.95
  5. Step 5: Solve for x
    x = 34,852,913.95/6,263.64
  6. Step 6: Final answer
    x = 5,564.32

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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.