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Finding the Fourth Proportional to 15,178.53, 20,945.39 and 8,463.77

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Solution

The fourth proportional to 15,178.53, 20,945.39 and 8,463.77 is: 11,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.53 : 20,945.39 = 8,463.77 : x
  2. Step 2: Convert to fraction form
    15,178.53/20,945.39 = 8,463.77/x
  3. Step 3: Cross multiply
    15,178.53x = 20,945.39 × 8,463.77
  4. Step 4: Simplify right side
    15,178.53x = 177,276,816.47
  5. Step 5: Solve for x
    x = 177,276,816.47/15,178.53
  6. Step 6: Final answer
    x = 11,679.45

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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.