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Finding the Fourth Proportional to 6,380.69, 9,570.17 and 2,430.87

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Solution

The fourth proportional to 6,380.69, 9,570.17 and 2,430.87 is: 3,645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.69 : 9,570.17 = 2,430.87 : x
  2. Step 2: Convert to fraction form
    6,380.69/9,570.17 = 2,430.87/x
  3. Step 3: Cross multiply
    6,380.69x = 9,570.17 × 2,430.87
  4. Step 4: Simplify right side
    6,380.69x = 23,263,826.99
  5. Step 5: Solve for x
    x = 23,263,826.99/6,380.69
  6. Step 6: Final answer
    x = 3,645.98

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1.5x scale

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.