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Finding the Fourth Proportional to 6,472.76, 9,706.26 and 3,011

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Solution

The fourth proportional to 6,472.76, 9,706.26 and 3,011 is: 4,515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.76 : 9,706.26 = 3,011 : x
  2. Step 2: Convert to fraction form
    6,472.76/9,706.26 = 3,011/x
  3. Step 3: Cross multiply
    6,472.76x = 9,706.26 × 3,011
  4. Step 4: Simplify right side
    6,472.76x = 29,225,548.86
  5. Step 5: Solve for x
    x = 29,225,548.86/6,472.76
  6. Step 6: Final answer
    x = 4,515.16

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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.