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Finding the Fourth Proportional to 6,538.24, 9,024.21 and 4,300.32

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Solution

The fourth proportional to 6,538.24, 9,024.21 and 4,300.32 is: 5,935.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.24 : 9,024.21 = 4,300.32 : x
  2. Step 2: Convert to fraction form
    6,538.24/9,024.21 = 4,300.32/x
  3. Step 3: Cross multiply
    6,538.24x = 9,024.21 × 4,300.32
  4. Step 4: Simplify right side
    6,538.24x = 38,806,969.25
  5. Step 5: Solve for x
    x = 38,806,969.25/6,538.24
  6. Step 6: Final answer
    x = 5,935.39

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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.