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Finding the Fourth Proportional to 9,732.87, 13,435.81 and 6,200.87

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Solution

The fourth proportional to 9,732.87, 13,435.81 and 6,200.87 is: 8,560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.87 : 13,435.81 = 6,200.87 : x
  2. Step 2: Convert to fraction form
    9,732.87/13,435.81 = 6,200.87/x
  3. Step 3: Cross multiply
    9,732.87x = 13,435.81 × 6,200.87
  4. Step 4: Simplify right side
    9,732.87x = 83,313,628.47
  5. Step 5: Solve for x
    x = 83,313,628.47/9,732.87
  6. Step 6: Final answer
    x = 8,560.03

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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.