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Finding the Fourth Proportional to 7,234.81, 9,984.08 and 4,211.73

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Solution

The fourth proportional to 7,234.81, 9,984.08 and 4,211.73 is: 5,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.81 : 9,984.08 = 4,211.73 : x
  2. Step 2: Convert to fraction form
    7,234.81/9,984.08 = 4,211.73/x
  3. Step 3: Cross multiply
    7,234.81x = 9,984.08 × 4,211.73
  4. Step 4: Simplify right side
    7,234.81x = 42,050,259.79
  5. Step 5: Solve for x
    x = 42,050,259.79/7,234.81
  6. Step 6: Final answer
    x = 5,812.22

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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.