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Finding the Fourth Proportional to 6,174.64, 9,263.52 and 1,792

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Solution

The fourth proportional to 6,174.64, 9,263.52 and 1,792 is: 2,688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.64 : 9,263.52 = 1,792 : x
  2. Step 2: Convert to fraction form
    6,174.64/9,263.52 = 1,792/x
  3. Step 3: Cross multiply
    6,174.64x = 9,263.52 × 1,792
  4. Step 4: Simplify right side
    6,174.64x = 16,600,227.84
  5. Step 5: Solve for x
    x = 16,600,227.84/6,174.64
  6. Step 6: Final answer
    x = 2,688.45

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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.