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Finding the Fourth Proportional to 9,898, 14,837.84 and 4,962.40

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Solution

The fourth proportional to 9,898, 14,837.84 and 4,962.40 is: 7,439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898 : 14,837.84 = 4,962.40 : x
  2. Step 2: Convert to fraction form
    9,898/14,837.84 = 4,962.40/x
  3. Step 3: Cross multiply
    9,898x = 14,837.84 × 4,962.40
  4. Step 4: Simplify right side
    9,898x = 73,631,297.22
  5. Step 5: Solve for x
    x = 73,631,297.22/9,898
  6. Step 6: Final answer
    x = 7,439.01

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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.