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Finding the Fourth Proportional to 6,411.57, 9,613.54 and 2,193.32

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Solution

The fourth proportional to 6,411.57, 9,613.54 and 2,193.32 is: 3,288.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.57 : 9,613.54 = 2,193.32 : x
  2. Step 2: Convert to fraction form
    6,411.57/9,613.54 = 2,193.32/x
  3. Step 3: Cross multiply
    6,411.57x = 9,613.54 × 2,193.32
  4. Step 4: Simplify right side
    6,411.57x = 21,085,577.23
  5. Step 5: Solve for x
    x = 21,085,577.23/6,411.57
  6. Step 6: Final answer
    x = 3,288.67

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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.