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Finding the Fourth Proportional to 9,467.53, 13,057.53 and 9,084.80

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Solution

The fourth proportional to 9,467.53, 13,057.53 and 9,084.80 is: 12,529.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.53 : 13,057.53 = 9,084.80 : x
  2. Step 2: Convert to fraction form
    9,467.53/13,057.53 = 9,084.80/x
  3. Step 3: Cross multiply
    9,467.53x = 13,057.53 × 9,084.80
  4. Step 4: Simplify right side
    9,467.53x = 118,625,048.54
  5. Step 5: Solve for x
    x = 118,625,048.54/9,467.53
  6. Step 6: Final answer
    x = 12,529.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.