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Finding the Fourth Proportional to 6,340.52, 9,512.22 and 2,445.14

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Solution

The fourth proportional to 6,340.52, 9,512.22 and 2,445.14 is: 3,668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.52 : 9,512.22 = 2,445.14 : x
  2. Step 2: Convert to fraction form
    6,340.52/9,512.22 = 2,445.14/x
  3. Step 3: Cross multiply
    6,340.52x = 9,512.22 × 2,445.14
  4. Step 4: Simplify right side
    6,340.52x = 23,258,709.61
  5. Step 5: Solve for x
    x = 23,258,709.61/6,340.52
  6. Step 6: Final answer
    x = 3,668.27

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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.