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Finding the Fourth Proportional to 18,527.14, 27,790.71 and 6,837.63

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Solution

The fourth proportional to 18,527.14, 27,790.71 and 6,837.63 is: 10,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,527.14 : 27,790.71 = 6,837.63 : x
  2. Step 2: Convert to fraction form
    18,527.14/27,790.71 = 6,837.63/x
  3. Step 3: Cross multiply
    18,527.14x = 27,790.71 × 6,837.63
  4. Step 4: Simplify right side
    18,527.14x = 190,022,592.42
  5. Step 5: Solve for x
    x = 190,022,592.42/18,527.14
  6. Step 6: Final answer
    x = 10,256.45

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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.