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Finding the Fourth Proportional to 23,538.09, 35,312 and 6,898.66

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Solution

The fourth proportional to 23,538.09, 35,312 and 6,898.66 is: 10,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538.09 : 35,312 = 6,898.66 : x
  2. Step 2: Convert to fraction form
    23,538.09/35,312 = 6,898.66/x
  3. Step 3: Cross multiply
    23,538.09x = 35,312 × 6,898.66
  4. Step 4: Simplify right side
    23,538.09x = 243,605,481.92
  5. Step 5: Solve for x
    x = 243,605,481.92/23,538.09
  6. Step 6: Final answer
    x = 10,349.42

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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.