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Finding the Fourth Proportional to 9,930.70, 14,892.45 and 4,005.10

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Solution

The fourth proportional to 9,930.70, 14,892.45 and 4,005.10 is: 6,006.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.70 : 14,892.45 = 4,005.10 : x
  2. Step 2: Convert to fraction form
    9,930.70/14,892.45 = 4,005.10/x
  3. Step 3: Cross multiply
    9,930.70x = 14,892.45 × 4,005.10
  4. Step 4: Simplify right side
    9,930.70x = 59,645,751.50
  5. Step 5: Solve for x
    x = 59,645,751.50/9,930.70
  6. Step 6: Final answer
    x = 6,006.20

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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.