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Finding the Fourth Proportional to 27,834.06, 41,752.74 and 9,116.06

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Solution

The fourth proportional to 27,834.06, 41,752.74 and 9,116.06 is: 13,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834.06 : 41,752.74 = 9,116.06 : x
  2. Step 2: Convert to fraction form
    27,834.06/41,752.74 = 9,116.06/x
  3. Step 3: Cross multiply
    27,834.06x = 41,752.74 × 9,116.06
  4. Step 4: Simplify right side
    27,834.06x = 380,620,483.00
  5. Step 5: Solve for x
    x = 380,620,483.00/27,834.06
  6. Step 6: Final answer
    x = 13,674.63

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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.