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Finding the Fourth Proportional to 9,942.50, 14,913.84 and 3,017

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Solution

The fourth proportional to 9,942.50, 14,913.84 and 3,017 is: 4,525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.50 : 14,913.84 = 3,017 : x
  2. Step 2: Convert to fraction form
    9,942.50/14,913.84 = 3,017/x
  3. Step 3: Cross multiply
    9,942.50x = 14,913.84 × 3,017
  4. Step 4: Simplify right side
    9,942.50x = 44,995,055.28
  5. Step 5: Solve for x
    x = 44,995,055.28/9,942.50
  6. Step 6: Final answer
    x = 4,525.53

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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.