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Finding the Fourth Proportional to 10,794.16, 14,896.24 and 6,546

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Solution

The fourth proportional to 10,794.16, 14,896.24 and 6,546 is: 9,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.16 : 14,896.24 = 6,546 : x
  2. Step 2: Convert to fraction form
    10,794.16/14,896.24 = 6,546/x
  3. Step 3: Cross multiply
    10,794.16x = 14,896.24 × 6,546
  4. Step 4: Simplify right side
    10,794.16x = 97,510,787.04
  5. Step 5: Solve for x
    x = 97,510,787.04/10,794.16
  6. Step 6: Final answer
    x = 9,033.66

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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.