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Finding the Fourth Proportional to 9,275.50, 13,914.06 and 2,350

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Solution

The fourth proportional to 9,275.50, 13,914.06 and 2,350 is: 3,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.50 : 13,914.06 = 2,350 : x
  2. Step 2: Convert to fraction form
    9,275.50/13,914.06 = 2,350/x
  3. Step 3: Cross multiply
    9,275.50x = 13,914.06 × 2,350
  4. Step 4: Simplify right side
    9,275.50x = 32,698,041
  5. Step 5: Solve for x
    x = 32,698,041/9,275.50
  6. Step 6: Final answer
    x = 3,525.21

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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.