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Finding the Fourth Proportional to 6,658.34, 9,227.35 and 6,564.38

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Solution

The fourth proportional to 6,658.34, 9,227.35 and 6,564.38 is: 9,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.34 : 9,227.35 = 6,564.38 : x
  2. Step 2: Convert to fraction form
    6,658.34/9,227.35 = 6,564.38/x
  3. Step 3: Cross multiply
    6,658.34x = 9,227.35 × 6,564.38
  4. Step 4: Simplify right side
    6,658.34x = 60,571,793.86
  5. Step 5: Solve for x
    x = 60,571,793.86/6,658.34
  6. Step 6: Final answer
    x = 9,097.14

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1.5x scale

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.