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Finding the Fourth Proportional to 10,673, 14,705.42 and 7,973

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Solution

The fourth proportional to 10,673, 14,705.42 and 7,973 is: 10,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673 : 14,705.42 = 7,973 : x
  2. Step 2: Convert to fraction form
    10,673/14,705.42 = 7,973/x
  3. Step 3: Cross multiply
    10,673x = 14,705.42 × 7,973
  4. Step 4: Simplify right side
    10,673x = 117,246,313.66
  5. Step 5: Solve for x
    x = 117,246,313.66/10,673
  6. Step 6: Final answer
    x = 10,985.32

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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.