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Finding the Fourth Proportional to 6,007.46, 9,012.10 and 3,543.44

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Solution

The fourth proportional to 6,007.46, 9,012.10 and 3,543.44 is: 5,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.46 : 9,012.10 = 3,543.44 : x
  2. Step 2: Convert to fraction form
    6,007.46/9,012.10 = 3,543.44/x
  3. Step 3: Cross multiply
    6,007.46x = 9,012.10 × 3,543.44
  4. Step 4: Simplify right side
    6,007.46x = 31,933,835.62
  5. Step 5: Solve for x
    x = 31,933,835.62/6,007.46
  6. Step 6: Final answer
    x = 5,315.70

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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.