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Finding the Fourth Proportional to 7,398.50, 10,212.06 and 4,709.80

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Solution

The fourth proportional to 7,398.50, 10,212.06 and 4,709.80 is: 6,500.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398.50 : 10,212.06 = 4,709.80 : x
  2. Step 2: Convert to fraction form
    7,398.50/10,212.06 = 4,709.80/x
  3. Step 3: Cross multiply
    7,398.50x = 10,212.06 × 4,709.80
  4. Step 4: Simplify right side
    7,398.50x = 48,096,761.37
  5. Step 5: Solve for x
    x = 48,096,761.37/7,398.50
  6. Step 6: Final answer
    x = 6,500.88

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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.