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Finding the Fourth Proportional to 9,809.92, 14,711.68 and 3,234.88

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Solution

The fourth proportional to 9,809.92, 14,711.68 and 3,234.88 is: 4,851.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.92 : 14,711.68 = 3,234.88 : x
  2. Step 2: Convert to fraction form
    9,809.92/14,711.68 = 3,234.88/x
  3. Step 3: Cross multiply
    9,809.92x = 14,711.68 × 3,234.88
  4. Step 4: Simplify right side
    9,809.92x = 47,590,519.40
  5. Step 5: Solve for x
    x = 47,590,519.40/9,809.92
  6. Step 6: Final answer
    x = 4,851.26

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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.