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Finding the Fourth Proportional to 6,352.87, 9,528.56 and 1,673.24

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Solution

The fourth proportional to 6,352.87, 9,528.56 and 1,673.24 is: 2,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.87 : 9,528.56 = 1,673.24 : x
  2. Step 2: Convert to fraction form
    6,352.87/9,528.56 = 1,673.24/x
  3. Step 3: Cross multiply
    6,352.87x = 9,528.56 × 1,673.24
  4. Step 4: Simplify right side
    6,352.87x = 15,943,616.50
  5. Step 5: Solve for x
    x = 15,943,616.50/6,352.87
  6. Step 6: Final answer
    x = 2,509.67

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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.