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Finding the Fourth Proportional to 7,497.62, 11,232.12 and 4,200.74

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Solution

The fourth proportional to 7,497.62, 11,232.12 and 4,200.74 is: 6,293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.62 : 11,232.12 = 4,200.74 : x
  2. Step 2: Convert to fraction form
    7,497.62/11,232.12 = 4,200.74/x
  3. Step 3: Cross multiply
    7,497.62x = 11,232.12 × 4,200.74
  4. Step 4: Simplify right side
    7,497.62x = 47,183,215.77
  5. Step 5: Solve for x
    x = 47,183,215.77/7,497.62
  6. Step 6: Final answer
    x = 6,293.09

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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.