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Finding the Fourth Proportional to 6,553.58, 9,056.79 and 5,824.58

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Solution

The fourth proportional to 6,553.58, 9,056.79 and 5,824.58 is: 8,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.58 : 9,056.79 = 5,824.58 : x
  2. Step 2: Convert to fraction form
    6,553.58/9,056.79 = 5,824.58/x
  3. Step 3: Cross multiply
    6,553.58x = 9,056.79 × 5,824.58
  4. Step 4: Simplify right side
    6,553.58x = 52,751,968.78
  5. Step 5: Solve for x
    x = 52,751,968.78/6,553.58
  6. Step 6: Final answer
    x = 8,049.34

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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.