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Finding the Fourth Proportional to 10,337, 15,561.77 and 9,418.46

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Solution

The fourth proportional to 10,337, 15,561.77 and 9,418.46 is: 14,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337 : 15,561.77 = 9,418.46 : x
  2. Step 2: Convert to fraction form
    10,337/15,561.77 = 9,418.46/x
  3. Step 3: Cross multiply
    10,337x = 15,561.77 × 9,418.46
  4. Step 4: Simplify right side
    10,337x = 146,567,908.27
  5. Step 5: Solve for x
    x = 146,567,908.27/10,337
  6. Step 6: Final answer
    x = 14,178.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.