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Finding the Fourth Proportional to 9,453.80, 14,180.70 and 8,141.60

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Solution

The fourth proportional to 9,453.80, 14,180.70 and 8,141.60 is: 12,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.80 : 14,180.70 = 8,141.60 : x
  2. Step 2: Convert to fraction form
    9,453.80/14,180.70 = 8,141.60/x
  3. Step 3: Cross multiply
    9,453.80x = 14,180.70 × 8,141.60
  4. Step 4: Simplify right side
    9,453.80x = 115,453,587.12
  5. Step 5: Solve for x
    x = 115,453,587.12/9,453.80
  6. Step 6: Final answer
    x = 12,212.40

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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.