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Finding the Fourth Proportional to 6,166.42, 8,507.08 and 4,042.46

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Solution

The fourth proportional to 6,166.42, 8,507.08 and 4,042.46 is: 5,576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.42 : 8,507.08 = 4,042.46 : x
  2. Step 2: Convert to fraction form
    6,166.42/8,507.08 = 4,042.46/x
  3. Step 3: Cross multiply
    6,166.42x = 8,507.08 × 4,042.46
  4. Step 4: Simplify right side
    6,166.42x = 34,389,530.62
  5. Step 5: Solve for x
    x = 34,389,530.62/6,166.42
  6. Step 6: Final answer
    x = 5,576.90

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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.