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Finding the Fourth Proportional to 7,847.38, 11,756.04 and 7,583.57

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Solution

The fourth proportional to 7,847.38, 11,756.04 and 7,583.57 is: 11,360.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.38 : 11,756.04 = 7,583.57 : x
  2. Step 2: Convert to fraction form
    7,847.38/11,756.04 = 7,583.57/x
  3. Step 3: Cross multiply
    7,847.38x = 11,756.04 × 7,583.57
  4. Step 4: Simplify right side
    7,847.38x = 89,152,775.26
  5. Step 5: Solve for x
    x = 89,152,775.26/7,847.38
  6. Step 6: Final answer
    x = 11,360.83

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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.