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Finding the Fourth Proportional to 6,538.50, 9,812.16 and 2,434.50

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Solution

The fourth proportional to 6,538.50, 9,812.16 and 2,434.50 is: 3,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.50 : 9,812.16 = 2,434.50 : x
  2. Step 2: Convert to fraction form
    6,538.50/9,812.16 = 2,434.50/x
  3. Step 3: Cross multiply
    6,538.50x = 9,812.16 × 2,434.50
  4. Step 4: Simplify right side
    6,538.50x = 23,887,703.52
  5. Step 5: Solve for x
    x = 23,887,703.52/6,538.50
  6. Step 6: Final answer
    x = 3,653.39

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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.