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Finding the Fourth Proportional to 8,353.66, 11,527.87 and 4,576.64

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Solution

The fourth proportional to 8,353.66, 11,527.87 and 4,576.64 is: 6,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.66 : 11,527.87 = 4,576.64 : x
  2. Step 2: Convert to fraction form
    8,353.66/11,527.87 = 4,576.64/x
  3. Step 3: Cross multiply
    8,353.66x = 11,527.87 × 4,576.64
  4. Step 4: Simplify right side
    8,353.66x = 52,758,856.29
  5. Step 5: Solve for x
    x = 52,758,856.29/8,353.66
  6. Step 6: Final answer
    x = 6,315.66

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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.