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Finding the Fourth Proportional to 18,289.76, 27,434.62 and 5,977.76

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Solution

The fourth proportional to 18,289.76, 27,434.62 and 5,977.76 is: 8,966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,289.76 : 27,434.62 = 5,977.76 : x
  2. Step 2: Convert to fraction form
    18,289.76/27,434.62 = 5,977.76/x
  3. Step 3: Cross multiply
    18,289.76x = 27,434.62 × 5,977.76
  4. Step 4: Simplify right side
    18,289.76x = 163,997,574.05
  5. Step 5: Solve for x
    x = 163,997,574.05/18,289.76
  6. Step 6: Final answer
    x = 8,966.63

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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.