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Finding the Fourth Proportional to 6,363, 8,780.94 and 3,568.50

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Solution

The fourth proportional to 6,363, 8,780.94 and 3,568.50 is: 4,924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363 : 8,780.94 = 3,568.50 : x
  2. Step 2: Convert to fraction form
    6,363/8,780.94 = 3,568.50/x
  3. Step 3: Cross multiply
    6,363x = 8,780.94 × 3,568.50
  4. Step 4: Simplify right side
    6,363x = 31,334,784.39
  5. Step 5: Solve for x
    x = 31,334,784.39/6,363
  6. Step 6: Final answer
    x = 4,924.53

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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.