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Finding the Fourth Proportional to 6,523.69, 9,000.57 and 4,004.54

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Solution

The fourth proportional to 6,523.69, 9,000.57 and 4,004.54 is: 5,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.69 : 9,000.57 = 4,004.54 : x
  2. Step 2: Convert to fraction form
    6,523.69/9,000.57 = 4,004.54/x
  3. Step 3: Cross multiply
    6,523.69x = 9,000.57 × 4,004.54
  4. Step 4: Simplify right side
    6,523.69x = 36,043,123.83
  5. Step 5: Solve for x
    x = 36,043,123.83/6,523.69
  6. Step 6: Final answer
    x = 5,524.96

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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.