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Finding the Fourth Proportional to 10,673.34, 14,729.34 and 6,197.28

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Solution

The fourth proportional to 10,673.34, 14,729.34 and 6,197.28 is: 8,552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.34 : 14,729.34 = 6,197.28 : x
  2. Step 2: Convert to fraction form
    10,673.34/14,729.34 = 6,197.28/x
  3. Step 3: Cross multiply
    10,673.34x = 14,729.34 × 6,197.28
  4. Step 4: Simplify right side
    10,673.34x = 91,281,844.20
  5. Step 5: Solve for x
    x = 91,281,844.20/10,673.34
  6. Step 6: Final answer
    x = 8,552.32

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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.