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Finding the Fourth Proportional to 9,982.40, 14,975.60 and 2,962.40

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Solution

The fourth proportional to 9,982.40, 14,975.60 and 2,962.40 is: 4,444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.40 : 14,975.60 = 2,962.40 : x
  2. Step 2: Convert to fraction form
    9,982.40/14,975.60 = 2,962.40/x
  3. Step 3: Cross multiply
    9,982.40x = 14,975.60 × 2,962.40
  4. Step 4: Simplify right side
    9,982.40x = 44,363,717.44
  5. Step 5: Solve for x
    x = 44,363,717.44/9,982.40
  6. Step 6: Final answer
    x = 4,444.19

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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.