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Finding the Fourth Proportional to 6,000.62, 9,000.92 and 4,972.46

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Solution

The fourth proportional to 6,000.62, 9,000.92 and 4,972.46 is: 7,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.62 : 9,000.92 = 4,972.46 : x
  2. Step 2: Convert to fraction form
    6,000.62/9,000.92 = 4,972.46/x
  3. Step 3: Cross multiply
    6,000.62x = 9,000.92 × 4,972.46
  4. Step 4: Simplify right side
    6,000.62x = 44,756,682.09
  5. Step 5: Solve for x
    x = 44,756,682.09/6,000.62
  6. Step 6: Final answer
    x = 7,458.68

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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.