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Finding the Fourth Proportional to 6,523.04, 9,001.83 and 3,538.91

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Solution

The fourth proportional to 6,523.04, 9,001.83 and 3,538.91 is: 4,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.04 : 9,001.83 = 3,538.91 : x
  2. Step 2: Convert to fraction form
    6,523.04/9,001.83 = 3,538.91/x
  3. Step 3: Cross multiply
    6,523.04x = 9,001.83 × 3,538.91
  4. Step 4: Simplify right side
    6,523.04x = 31,856,621.20
  5. Step 5: Solve for x
    x = 31,856,621.20/6,523.04
  6. Step 6: Final answer
    x = 4,883.71

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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.