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Finding the Fourth Proportional to 10,106.40, 15,120 and 6,650.40

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Solution

The fourth proportional to 10,106.40, 15,120 and 6,650.40 is: 9,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106.40 : 15,120 = 6,650.40 : x
  2. Step 2: Convert to fraction form
    10,106.40/15,120 = 6,650.40/x
  3. Step 3: Cross multiply
    10,106.40x = 15,120 × 6,650.40
  4. Step 4: Simplify right side
    10,106.40x = 100,554,048
  5. Step 5: Solve for x
    x = 100,554,048/10,106.40
  6. Step 6: Final answer
    x = 9,949.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.