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Finding the Fourth Proportional to 6,337.98, 8,749.90 and 4,215.14

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Solution

The fourth proportional to 6,337.98, 8,749.90 and 4,215.14 is: 5,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.98 : 8,749.90 = 4,215.14 : x
  2. Step 2: Convert to fraction form
    6,337.98/8,749.90 = 4,215.14/x
  3. Step 3: Cross multiply
    6,337.98x = 8,749.90 × 4,215.14
  4. Step 4: Simplify right side
    6,337.98x = 36,882,053.49
  5. Step 5: Solve for x
    x = 36,882,053.49/6,337.98
  6. Step 6: Final answer
    x = 5,819.21

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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.