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Finding the Fourth Proportional to 8,576.62, 11,827.82 and 6,587.26

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Solution

The fourth proportional to 8,576.62, 11,827.82 and 6,587.26 is: 9,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.62 : 11,827.82 = 6,587.26 : x
  2. Step 2: Convert to fraction form
    8,576.62/11,827.82 = 6,587.26/x
  3. Step 3: Cross multiply
    8,576.62x = 11,827.82 × 6,587.26
  4. Step 4: Simplify right side
    8,576.62x = 77,912,925.57
  5. Step 5: Solve for x
    x = 77,912,925.57/8,576.62
  6. Step 6: Final answer
    x = 9,084.34

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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.