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Finding the Fourth Proportional to 8,076.56, 12,089.86 and 6,895.76

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Solution

The fourth proportional to 8,076.56, 12,089.86 and 6,895.76 is: 10,322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.56 : 12,089.86 = 6,895.76 : x
  2. Step 2: Convert to fraction form
    8,076.56/12,089.86 = 6,895.76/x
  3. Step 3: Cross multiply
    8,076.56x = 12,089.86 × 6,895.76
  4. Step 4: Simplify right side
    8,076.56x = 83,368,772.99
  5. Step 5: Solve for x
    x = 83,368,772.99/8,076.56
  6. Step 6: Final answer
    x = 10,322.31

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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.