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Finding the Fourth Proportional to 9,934, 14,900.67 and 4,666.07

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Solution

The fourth proportional to 9,934, 14,900.67 and 4,666.07 is: 6,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934 : 14,900.67 = 4,666.07 : x
  2. Step 2: Convert to fraction form
    9,934/14,900.67 = 4,666.07/x
  3. Step 3: Cross multiply
    9,934x = 14,900.67 × 4,666.07
  4. Step 4: Simplify right side
    9,934x = 69,527,471.43
  5. Step 5: Solve for x
    x = 69,527,471.43/9,934
  6. Step 6: Final answer
    x = 6,998.94

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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.