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Finding the Fourth Proportional to 6,523.18, 9,001.74 and 3,538.92

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Solution

The fourth proportional to 6,523.18, 9,001.74 and 3,538.92 is: 4,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.18 : 9,001.74 = 3,538.92 : x
  2. Step 2: Convert to fraction form
    6,523.18/9,001.74 = 3,538.92/x
  3. Step 3: Cross multiply
    6,523.18x = 9,001.74 × 3,538.92
  4. Step 4: Simplify right side
    6,523.18x = 31,856,437.72
  5. Step 5: Solve for x
    x = 31,856,437.72/6,523.18
  6. Step 6: Final answer
    x = 4,883.57

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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.