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Finding the Fourth Proportional to 6,659.34, 9,228.74 and 6,565.38

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Solution

The fourth proportional to 6,659.34, 9,228.74 and 6,565.38 is: 9,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.34 : 9,228.74 = 6,565.38 : x
  2. Step 2: Convert to fraction form
    6,659.34/9,228.74 = 6,565.38/x
  3. Step 3: Cross multiply
    6,659.34x = 9,228.74 × 6,565.38
  4. Step 4: Simplify right side
    6,659.34x = 60,590,185.02
  5. Step 5: Solve for x
    x = 60,590,185.02/6,659.34
  6. Step 6: Final answer
    x = 9,098.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.