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Finding the Fourth Proportional to 6,385.32, 9,578.07 and 1,768.32

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Solution

The fourth proportional to 6,385.32, 9,578.07 and 1,768.32 is: 2,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.32 : 9,578.07 = 1,768.32 : x
  2. Step 2: Convert to fraction form
    6,385.32/9,578.07 = 1,768.32/x
  3. Step 3: Cross multiply
    6,385.32x = 9,578.07 × 1,768.32
  4. Step 4: Simplify right side
    6,385.32x = 16,937,092.74
  5. Step 5: Solve for x
    x = 16,937,092.74/6,385.32
  6. Step 6: Final answer
    x = 2,652.50

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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.