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Finding the Fourth Proportional to 7,492, 11,238 and 2,020

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Solution

The fourth proportional to 7,492, 11,238 and 2,020 is: 3,030

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492 : 11,238 = 2,020 : x
  2. Step 2: Convert to fraction form
    7,492/11,238 = 2,020/x
  3. Step 3: Cross multiply
    7,492x = 11,238 × 2,020
  4. Step 4: Simplify right side
    7,492x = 22,700,760
  5. Step 5: Solve for x
    x = 22,700,760/7,492
  6. Step 6: Final answer
    x = 3,030

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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.