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Finding the Fourth Proportional to 6,475.26, 9,721.04 and 5,507.50

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Solution

The fourth proportional to 6,475.26, 9,721.04 and 5,507.50 is: 8,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.26 : 9,721.04 = 5,507.50 : x
  2. Step 2: Convert to fraction form
    6,475.26/9,721.04 = 5,507.50/x
  3. Step 3: Cross multiply
    6,475.26x = 9,721.04 × 5,507.50
  4. Step 4: Simplify right side
    6,475.26x = 53,538,627.80
  5. Step 5: Solve for x
    x = 53,538,627.80/6,475.26
  6. Step 6: Final answer
    x = 8,268.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.