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Finding the Fourth Proportional to 6,411.64, 9,623.40 and 3,951.26

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Solution

The fourth proportional to 6,411.64, 9,623.40 and 3,951.26 is: 5,930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.64 : 9,623.40 = 3,951.26 : x
  2. Step 2: Convert to fraction form
    6,411.64/9,623.40 = 3,951.26/x
  3. Step 3: Cross multiply
    6,411.64x = 9,623.40 × 3,951.26
  4. Step 4: Simplify right side
    6,411.64x = 38,024,555.48
  5. Step 5: Solve for x
    x = 38,024,555.48/6,411.64
  6. Step 6: Final answer
    x = 5,930.55

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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.