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Finding the Fourth Proportional to 6,852.63, 10,230.27 and 6,609.63

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Solution

The fourth proportional to 6,852.63, 10,230.27 and 6,609.63 is: 9,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.63 : 10,230.27 = 6,609.63 : x
  2. Step 2: Convert to fraction form
    6,852.63/10,230.27 = 6,609.63/x
  3. Step 3: Cross multiply
    6,852.63x = 10,230.27 × 6,609.63
  4. Step 4: Simplify right side
    6,852.63x = 67,618,299.50
  5. Step 5: Solve for x
    x = 67,618,299.50/6,852.63
  6. Step 6: Final answer
    x = 9,867.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.