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Finding the Fourth Proportional to 9,930.48, 14,898 and 2,910.33

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Solution

The fourth proportional to 9,930.48, 14,898 and 2,910.33 is: 4,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.48 : 14,898 = 2,910.33 : x
  2. Step 2: Convert to fraction form
    9,930.48/14,898 = 2,910.33/x
  3. Step 3: Cross multiply
    9,930.48x = 14,898 × 2,910.33
  4. Step 4: Simplify right side
    9,930.48x = 43,358,096.34
  5. Step 5: Solve for x
    x = 43,358,096.34/9,930.48
  6. Step 6: Final answer
    x = 4,366.16

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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.