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Finding the Fourth Proportional to 6,174.72, 9,261.72 and 1,557.72

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Solution

The fourth proportional to 6,174.72, 9,261.72 and 1,557.72 is: 2,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.72 : 9,261.72 = 1,557.72 : x
  2. Step 2: Convert to fraction form
    6,174.72/9,261.72 = 1,557.72/x
  3. Step 3: Cross multiply
    6,174.72x = 9,261.72 × 1,557.72
  4. Step 4: Simplify right side
    6,174.72x = 14,427,166.48
  5. Step 5: Solve for x
    x = 14,427,166.48/6,174.72
  6. Step 6: Final answer
    x = 2,336.49

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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.