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Finding the Fourth Proportional to 6,750.86, 10,125.93 and 2,133.50

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Solution

The fourth proportional to 6,750.86, 10,125.93 and 2,133.50 is: 3,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.86 : 10,125.93 = 2,133.50 : x
  2. Step 2: Convert to fraction form
    6,750.86/10,125.93 = 2,133.50/x
  3. Step 3: Cross multiply
    6,750.86x = 10,125.93 × 2,133.50
  4. Step 4: Simplify right side
    6,750.86x = 21,603,671.66
  5. Step 5: Solve for x
    x = 21,603,671.66/6,750.86
  6. Step 6: Final answer
    x = 3,200.14

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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.