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Finding the Fourth Proportional to 8,252.40, 12,380.20 and 4,148.40

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Solution

The fourth proportional to 8,252.40, 12,380.20 and 4,148.40 is: 6,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.40 : 12,380.20 = 4,148.40 : x
  2. Step 2: Convert to fraction form
    8,252.40/12,380.20 = 4,148.40/x
  3. Step 3: Cross multiply
    8,252.40x = 12,380.20 × 4,148.40
  4. Step 4: Simplify right side
    8,252.40x = 51,358,021.68
  5. Step 5: Solve for x
    x = 51,358,021.68/8,252.40
  6. Step 6: Final answer
    x = 6,223.40

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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.