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Finding the Fourth Proportional to 9,800.08, 14,700.60 and 2,874

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Solution

The fourth proportional to 9,800.08, 14,700.60 and 2,874 is: 4,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.08 : 14,700.60 = 2,874 : x
  2. Step 2: Convert to fraction form
    9,800.08/14,700.60 = 2,874/x
  3. Step 3: Cross multiply
    9,800.08x = 14,700.60 × 2,874
  4. Step 4: Simplify right side
    9,800.08x = 42,249,524.40
  5. Step 5: Solve for x
    x = 42,249,524.40/9,800.08
  6. Step 6: Final answer
    x = 4,311.14

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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.