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Finding the Fourth Proportional to 7,664.60, 11,486.10 and 5,674.70

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Solution

The fourth proportional to 7,664.60, 11,486.10 and 5,674.70 is: 8,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.60 : 11,486.10 = 5,674.70 : x
  2. Step 2: Convert to fraction form
    7,664.60/11,486.10 = 5,674.70/x
  3. Step 3: Cross multiply
    7,664.60x = 11,486.10 × 5,674.70
  4. Step 4: Simplify right side
    7,664.60x = 65,180,171.67
  5. Step 5: Solve for x
    x = 65,180,171.67/7,664.60
  6. Step 6: Final answer
    x = 8,504.05

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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.