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Finding the Fourth Proportional to 18,465.66, 27,713.03 and 6,782.22

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Solution

The fourth proportional to 18,465.66, 27,713.03 and 6,782.22 is: 10,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,465.66 : 27,713.03 = 6,782.22 : x
  2. Step 2: Convert to fraction form
    18,465.66/27,713.03 = 6,782.22/x
  3. Step 3: Cross multiply
    18,465.66x = 27,713.03 × 6,782.22
  4. Step 4: Simplify right side
    18,465.66x = 187,955,832.42
  5. Step 5: Solve for x
    x = 187,955,832.42/18,465.66
  6. Step 6: Final answer
    x = 10,178.67

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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.