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Finding the Fourth Proportional to 6,438.56, 9,664.68 and 5,702.96

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Solution

The fourth proportional to 6,438.56, 9,664.68 and 5,702.96 is: 8,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.56 : 9,664.68 = 5,702.96 : x
  2. Step 2: Convert to fraction form
    6,438.56/9,664.68 = 5,702.96/x
  3. Step 3: Cross multiply
    6,438.56x = 9,664.68 × 5,702.96
  4. Step 4: Simplify right side
    6,438.56x = 55,117,283.45
  5. Step 5: Solve for x
    x = 55,117,283.45/6,438.56
  6. Step 6: Final answer
    x = 8,560.50

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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.