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Finding the Fourth Proportional to 6,500.67, 9,751 and 1,570.30

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Solution

The fourth proportional to 6,500.67, 9,751 and 1,570.30 is: 2,355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.67 : 9,751 = 1,570.30 : x
  2. Step 2: Convert to fraction form
    6,500.67/9,751 = 1,570.30/x
  3. Step 3: Cross multiply
    6,500.67x = 9,751 × 1,570.30
  4. Step 4: Simplify right side
    6,500.67x = 15,311,995.30
  5. Step 5: Solve for x
    x = 15,311,995.30/6,500.67
  6. Step 6: Final answer
    x = 2,355.45

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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.