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Finding the Fourth Proportional to 8,633.50, 12,957.32 and 4,474.76

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Solution

The fourth proportional to 8,633.50, 12,957.32 and 4,474.76 is: 6,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.50 : 12,957.32 = 4,474.76 : x
  2. Step 2: Convert to fraction form
    8,633.50/12,957.32 = 4,474.76/x
  3. Step 3: Cross multiply
    8,633.50x = 12,957.32 × 4,474.76
  4. Step 4: Simplify right side
    8,633.50x = 57,980,891.36
  5. Step 5: Solve for x
    x = 57,980,891.36/8,633.50
  6. Step 6: Final answer
    x = 6,715.80

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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.