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Finding the Fourth Proportional to 9,657.28, 14,493.24 and 6,369.28

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Solution

The fourth proportional to 9,657.28, 14,493.24 and 6,369.28 is: 9,558.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.28 : 14,493.24 = 6,369.28 : x
  2. Step 2: Convert to fraction form
    9,657.28/14,493.24 = 6,369.28/x
  3. Step 3: Cross multiply
    9,657.28x = 14,493.24 × 6,369.28
  4. Step 4: Simplify right side
    9,657.28x = 92,311,503.67
  5. Step 5: Solve for x
    x = 92,311,503.67/9,657.28
  6. Step 6: Final answer
    x = 9,558.75

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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.