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Finding the Fourth Proportional to 27,809.46, 41,714.19 and 7,034.58

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Solution

The fourth proportional to 27,809.46, 41,714.19 and 7,034.58 is: 10,551.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.46 : 41,714.19 = 7,034.58 : x
  2. Step 2: Convert to fraction form
    27,809.46/41,714.19 = 7,034.58/x
  3. Step 3: Cross multiply
    27,809.46x = 41,714.19 × 7,034.58
  4. Step 4: Simplify right side
    27,809.46x = 293,441,806.69
  5. Step 5: Solve for x
    x = 293,441,806.69/27,809.46
  6. Step 6: Final answer
    x = 10,551.87

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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.