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Finding the Fourth Proportional to 8,400.28, 12,593.14 and 6,206

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Solution

The fourth proportional to 8,400.28, 12,593.14 and 6,206 is: 9,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.28 : 12,593.14 = 6,206 : x
  2. Step 2: Convert to fraction form
    8,400.28/12,593.14 = 6,206/x
  3. Step 3: Cross multiply
    8,400.28x = 12,593.14 × 6,206
  4. Step 4: Simplify right side
    8,400.28x = 78,153,026.84
  5. Step 5: Solve for x
    x = 78,153,026.84/8,400.28
  6. Step 6: Final answer
    x = 9,303.62

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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.