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Finding the Fourth Proportional to 6,816.04, 10,237.02 and 4,237

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Solution

The fourth proportional to 6,816.04, 10,237.02 and 4,237 is: 6,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.04 : 10,237.02 = 4,237 : x
  2. Step 2: Convert to fraction form
    6,816.04/10,237.02 = 4,237/x
  3. Step 3: Cross multiply
    6,816.04x = 10,237.02 × 4,237
  4. Step 4: Simplify right side
    6,816.04x = 43,374,253.74
  5. Step 5: Solve for x
    x = 43,374,253.74/6,816.04
  6. Step 6: Final answer
    x = 6,363.56

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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.