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Finding the Fourth Proportional to 8,261.40, 12,393.70 and 4,157.40

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Solution

The fourth proportional to 8,261.40, 12,393.70 and 4,157.40 is: 6,236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.40 : 12,393.70 = 4,157.40 : x
  2. Step 2: Convert to fraction form
    8,261.40/12,393.70 = 4,157.40/x
  3. Step 3: Cross multiply
    8,261.40x = 12,393.70 × 4,157.40
  4. Step 4: Simplify right side
    8,261.40x = 51,525,568.38
  5. Step 5: Solve for x
    x = 51,525,568.38/8,261.40
  6. Step 6: Final answer
    x = 6,236.91

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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.