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Finding the Fourth Proportional to 9,472.82, 14,209.24 and 4,206.60

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Solution

The fourth proportional to 9,472.82, 14,209.24 and 4,206.60 is: 6,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.82 : 14,209.24 = 4,206.60 : x
  2. Step 2: Convert to fraction form
    9,472.82/14,209.24 = 4,206.60/x
  3. Step 3: Cross multiply
    9,472.82x = 14,209.24 × 4,206.60
  4. Step 4: Simplify right side
    9,472.82x = 59,772,517.94
  5. Step 5: Solve for x
    x = 59,772,517.94/9,472.82
  6. Step 6: Final answer
    x = 6,309.90

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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.