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Finding the Fourth Proportional to 10,338.66, 14,261.28 and 6,504.20

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Solution

The fourth proportional to 10,338.66, 14,261.28 and 6,504.20 is: 8,971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.66 : 14,261.28 = 6,504.20 : x
  2. Step 2: Convert to fraction form
    10,338.66/14,261.28 = 6,504.20/x
  3. Step 3: Cross multiply
    10,338.66x = 14,261.28 × 6,504.20
  4. Step 4: Simplify right side
    10,338.66x = 92,758,217.38
  5. Step 5: Solve for x
    x = 92,758,217.38/10,338.66
  6. Step 6: Final answer
    x = 8,971.98

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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.