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Finding the Fourth Proportional to 6,575.06, 9,792.84 and 6,543.26

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Solution

The fourth proportional to 6,575.06, 9,792.84 and 6,543.26 is: 9,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.06 : 9,792.84 = 6,543.26 : x
  2. Step 2: Convert to fraction form
    6,575.06/9,792.84 = 6,543.26/x
  3. Step 3: Cross multiply
    6,575.06x = 9,792.84 × 6,543.26
  4. Step 4: Simplify right side
    6,575.06x = 64,077,098.26
  5. Step 5: Solve for x
    x = 64,077,098.26/6,575.06
  6. Step 6: Final answer
    x = 9,745.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.