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Finding the Fourth Proportional to 7,665.87, 11,503.24 and 3,223.19

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Solution

The fourth proportional to 7,665.87, 11,503.24 and 3,223.19 is: 4,836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.87 : 11,503.24 = 3,223.19 : x
  2. Step 2: Convert to fraction form
    7,665.87/11,503.24 = 3,223.19/x
  3. Step 3: Cross multiply
    7,665.87x = 11,503.24 × 3,223.19
  4. Step 4: Simplify right side
    7,665.87x = 37,077,128.14
  5. Step 5: Solve for x
    x = 37,077,128.14/7,665.87
  6. Step 6: Final answer
    x = 4,836.65

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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.