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Finding the Fourth Proportional to 6,356.58, 9,531 and 2,845.92

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Solution

The fourth proportional to 6,356.58, 9,531 and 2,845.92 is: 4,267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.58 : 9,531 = 2,845.92 : x
  2. Step 2: Convert to fraction form
    6,356.58/9,531 = 2,845.92/x
  3. Step 3: Cross multiply
    6,356.58x = 9,531 × 2,845.92
  4. Step 4: Simplify right side
    6,356.58x = 27,124,463.52
  5. Step 5: Solve for x
    x = 27,124,463.52/6,356.58
  6. Step 6: Final answer
    x = 4,267.15

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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.