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Finding the Fourth Proportional to 6,311.82, 8,712.09 and 4,423.91

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Solution

The fourth proportional to 6,311.82, 8,712.09 and 4,423.91 is: 6,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.82 : 8,712.09 = 4,423.91 : x
  2. Step 2: Convert to fraction form
    6,311.82/8,712.09 = 4,423.91/x
  3. Step 3: Cross multiply
    6,311.82x = 8,712.09 × 4,423.91
  4. Step 4: Simplify right side
    6,311.82x = 38,541,483.01
  5. Step 5: Solve for x
    x = 38,541,483.01/6,311.82
  6. Step 6: Final answer
    x = 6,106.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.