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Finding the Fourth Proportional to 6,906.60, 9,533.25 and 6,553.89

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Solution

The fourth proportional to 6,906.60, 9,533.25 and 6,553.89 is: 9,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.60 : 9,533.25 = 6,553.89 : x
  2. Step 2: Convert to fraction form
    6,906.60/9,533.25 = 6,553.89/x
  3. Step 3: Cross multiply
    6,906.60x = 9,533.25 × 6,553.89
  4. Step 4: Simplify right side
    6,906.60x = 62,479,871.84
  5. Step 5: Solve for x
    x = 62,479,871.84/6,906.60
  6. Step 6: Final answer
    x = 9,046.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.