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Finding the Fourth Proportional to 4,154.70, 6,207.75 and 4,009.41

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Solution

The fourth proportional to 4,154.70, 6,207.75 and 4,009.41 is: 5,990.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.70 : 6,207.75 = 4,009.41 : x
  2. Step 2: Convert to fraction form
    4,154.70/6,207.75 = 4,009.41/x
  3. Step 3: Cross multiply
    4,154.70x = 6,207.75 × 4,009.41
  4. Step 4: Simplify right side
    4,154.70x = 24,889,414.93
  5. Step 5: Solve for x
    x = 24,889,414.93/4,154.70
  6. Step 6: Final answer
    x = 5,990.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.