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Finding the Fourth Proportional to 9,751.40, 14,631.90 and 7,410.60

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Solution

The fourth proportional to 9,751.40, 14,631.90 and 7,410.60 is: 11,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.40 : 14,631.90 = 7,410.60 : x
  2. Step 2: Convert to fraction form
    9,751.40/14,631.90 = 7,410.60/x
  3. Step 3: Cross multiply
    9,751.40x = 14,631.90 × 7,410.60
  4. Step 4: Simplify right side
    9,751.40x = 108,431,158.14
  5. Step 5: Solve for x
    x = 108,431,158.14/9,751.40
  6. Step 6: Final answer
    x = 11,119.55

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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.