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Finding the Fourth Proportional to 8,201.65, 12,302.48 and 5,686.60

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Solution

The fourth proportional to 8,201.65, 12,302.48 and 5,686.60 is: 8,529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.65 : 12,302.48 = 5,686.60 : x
  2. Step 2: Convert to fraction form
    8,201.65/12,302.48 = 5,686.60/x
  3. Step 3: Cross multiply
    8,201.65x = 12,302.48 × 5,686.60
  4. Step 4: Simplify right side
    8,201.65x = 69,959,282.77
  5. Step 5: Solve for x
    x = 69,959,282.77/8,201.65
  6. Step 6: Final answer
    x = 8,529.90

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1.5x scale

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.