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Finding the Fourth Proportional to 6,472.32, 9,706.02 and 2,029.50

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Solution

The fourth proportional to 6,472.32, 9,706.02 and 2,029.50 is: 3,043.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.32 : 9,706.02 = 2,029.50 : x
  2. Step 2: Convert to fraction form
    6,472.32/9,706.02 = 2,029.50/x
  3. Step 3: Cross multiply
    6,472.32x = 9,706.02 × 2,029.50
  4. Step 4: Simplify right side
    6,472.32x = 19,698,367.59
  5. Step 5: Solve for x
    x = 19,698,367.59/6,472.32
  6. Step 6: Final answer
    x = 3,043.48

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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.