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Finding the Fourth Proportional to 7,005.50, 10,509.69 and 2,901.50

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Solution

The fourth proportional to 7,005.50, 10,509.69 and 2,901.50 is: 4,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.50 : 10,509.69 = 2,901.50 : x
  2. Step 2: Convert to fraction form
    7,005.50/10,509.69 = 2,901.50/x
  3. Step 3: Cross multiply
    7,005.50x = 10,509.69 × 2,901.50
  4. Step 4: Simplify right side
    7,005.50x = 30,493,865.54
  5. Step 5: Solve for x
    x = 30,493,865.54/7,005.50
  6. Step 6: Final answer
    x = 4,352.85

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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.