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Finding the Fourth Proportional to 7,609.80, 11,414.88 and 2,416.08

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Solution

The fourth proportional to 7,609.80, 11,414.88 and 2,416.08 is: 3,624.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.80 : 11,414.88 = 2,416.08 : x
  2. Step 2: Convert to fraction form
    7,609.80/11,414.88 = 2,416.08/x
  3. Step 3: Cross multiply
    7,609.80x = 11,414.88 × 2,416.08
  4. Step 4: Simplify right side
    7,609.80x = 27,579,263.27
  5. Step 5: Solve for x
    x = 27,579,263.27/7,609.80
  6. Step 6: Final answer
    x = 3,624.18

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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.