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Finding the Fourth Proportional to 9,682.64, 14,500.92 and 5,570

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Solution

The fourth proportional to 9,682.64, 14,500.92 and 5,570 is: 8,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.64 : 14,500.92 = 5,570 : x
  2. Step 2: Convert to fraction form
    9,682.64/14,500.92 = 5,570/x
  3. Step 3: Cross multiply
    9,682.64x = 14,500.92 × 5,570
  4. Step 4: Simplify right side
    9,682.64x = 80,770,124.40
  5. Step 5: Solve for x
    x = 80,770,124.40/9,682.64
  6. Step 6: Final answer
    x = 8,341.75

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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.