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Finding the Fourth Proportional to 9,958, 14,938.08 and 3,802

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Solution

The fourth proportional to 9,958, 14,938.08 and 3,802 is: 5,703.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958 : 14,938.08 = 3,802 : x
  2. Step 2: Convert to fraction form
    9,958/14,938.08 = 3,802/x
  3. Step 3: Cross multiply
    9,958x = 14,938.08 × 3,802
  4. Step 4: Simplify right side
    9,958x = 56,794,580.16
  5. Step 5: Solve for x
    x = 56,794,580.16/9,958
  6. Step 6: Final answer
    x = 5,703.41

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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.