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Finding the Fourth Proportional to 15,178.70, 20,945.70 and 8,464.77

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Solution

The fourth proportional to 15,178.70, 20,945.70 and 8,464.77 is: 11,680.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.70 : 20,945.70 = 8,464.77 : x
  2. Step 2: Convert to fraction form
    15,178.70/20,945.70 = 8,464.77/x
  3. Step 3: Cross multiply
    15,178.70x = 20,945.70 × 8,464.77
  4. Step 4: Simplify right side
    15,178.70x = 177,300,532.99
  5. Step 5: Solve for x
    x = 177,300,532.99/15,178.70
  6. Step 6: Final answer
    x = 11,680.88

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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.