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Finding the Fourth Proportional to 9,672.57, 14,509.03 and 3,432.94

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Solution

The fourth proportional to 9,672.57, 14,509.03 and 3,432.94 is: 5,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.57 : 14,509.03 = 3,432.94 : x
  2. Step 2: Convert to fraction form
    9,672.57/14,509.03 = 3,432.94/x
  3. Step 3: Cross multiply
    9,672.57x = 14,509.03 × 3,432.94
  4. Step 4: Simplify right side
    9,672.57x = 49,808,651.88
  5. Step 5: Solve for x
    x = 49,808,651.88/9,672.57
  6. Step 6: Final answer
    x = 5,149.47

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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.