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Finding the Fourth Proportional to 27,213, 40,820.91 and 7,491.12

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Solution

The fourth proportional to 27,213, 40,820.91 and 7,491.12 is: 11,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,213 : 40,820.91 = 7,491.12 : x
  2. Step 2: Convert to fraction form
    27,213/40,820.91 = 7,491.12/x
  3. Step 3: Cross multiply
    27,213x = 40,820.91 × 7,491.12
  4. Step 4: Simplify right side
    27,213x = 305,794,335.32
  5. Step 5: Solve for x
    x = 305,794,335.32/27,213
  6. Step 6: Final answer
    x = 11,237.07

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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.