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Finding the Fourth Proportional to 9,957.56, 14,938.80 and 4,115.84

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Solution

The fourth proportional to 9,957.56, 14,938.80 and 4,115.84 is: 6,174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.56 : 14,938.80 = 4,115.84 : x
  2. Step 2: Convert to fraction form
    9,957.56/14,938.80 = 4,115.84/x
  3. Step 3: Cross multiply
    9,957.56x = 14,938.80 × 4,115.84
  4. Step 4: Simplify right side
    9,957.56x = 61,485,710.59
  5. Step 5: Solve for x
    x = 61,485,710.59/9,957.56
  6. Step 6: Final answer
    x = 6,174.78

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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.