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Finding the Fourth Proportional to 9,264.85, 12,776.86 and 8,576.80

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Solution

The fourth proportional to 9,264.85, 12,776.86 and 8,576.80 is: 11,827.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.85 : 12,776.86 = 8,576.80 : x
  2. Step 2: Convert to fraction form
    9,264.85/12,776.86 = 8,576.80/x
  3. Step 3: Cross multiply
    9,264.85x = 12,776.86 × 8,576.80
  4. Step 4: Simplify right side
    9,264.85x = 109,584,529.96
  5. Step 5: Solve for x
    x = 109,584,529.96/9,264.85
  6. Step 6: Final answer
    x = 11,827.99

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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.