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Finding the Fourth Proportional to 6,750.92, 10,109.64 and 4,673

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Solution

The fourth proportional to 6,750.92, 10,109.64 and 4,673 is: 6,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.92 : 10,109.64 = 4,673 : x
  2. Step 2: Convert to fraction form
    6,750.92/10,109.64 = 4,673/x
  3. Step 3: Cross multiply
    6,750.92x = 10,109.64 × 4,673
  4. Step 4: Simplify right side
    6,750.92x = 47,242,347.72
  5. Step 5: Solve for x
    x = 47,242,347.72/6,750.92
  6. Step 6: Final answer
    x = 6,997.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.