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Finding the Fourth Proportional to 10,353.66, 14,283.90 and 6,767.46

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Solution

The fourth proportional to 10,353.66, 14,283.90 and 6,767.46 is: 9,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.66 : 14,283.90 = 6,767.46 : x
  2. Step 2: Convert to fraction form
    10,353.66/14,283.90 = 6,767.46/x
  3. Step 3: Cross multiply
    10,353.66x = 14,283.90 × 6,767.46
  4. Step 4: Simplify right side
    10,353.66x = 96,665,721.89
  5. Step 5: Solve for x
    x = 96,665,721.89/10,353.66
  6. Step 6: Final answer
    x = 9,336.38

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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.