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Finding the Fourth Proportional to 8,576.46, 11,836.35 and 6,188.40

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Solution

The fourth proportional to 8,576.46, 11,836.35 and 6,188.40 is: 8,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.46 : 11,836.35 = 6,188.40 : x
  2. Step 2: Convert to fraction form
    8,576.46/11,836.35 = 6,188.40/x
  3. Step 3: Cross multiply
    8,576.46x = 11,836.35 × 6,188.40
  4. Step 4: Simplify right side
    8,576.46x = 73,248,068.34
  5. Step 5: Solve for x
    x = 73,248,068.34/8,576.46
  6. Step 6: Final answer
    x = 8,540.59

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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.