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Finding the Fourth Proportional to 6,357, 8,772.66 and 3,562.50

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Solution

The fourth proportional to 6,357, 8,772.66 and 3,562.50 is: 4,916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357 : 8,772.66 = 3,562.50 : x
  2. Step 2: Convert to fraction form
    6,357/8,772.66 = 3,562.50/x
  3. Step 3: Cross multiply
    6,357x = 8,772.66 × 3,562.50
  4. Step 4: Simplify right side
    6,357x = 31,252,601.25
  5. Step 5: Solve for x
    x = 31,252,601.25/6,357
  6. Step 6: Final answer
    x = 4,916.25

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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.