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Finding the Fourth Proportional to 9,423.50, 14,135.52 and 2,498

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Solution

The fourth proportional to 9,423.50, 14,135.52 and 2,498 is: 3,747.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.50 : 14,135.52 = 2,498 : x
  2. Step 2: Convert to fraction form
    9,423.50/14,135.52 = 2,498/x
  3. Step 3: Cross multiply
    9,423.50x = 14,135.52 × 2,498
  4. Step 4: Simplify right side
    9,423.50x = 35,310,528.96
  5. Step 5: Solve for x
    x = 35,310,528.96/9,423.50
  6. Step 6: Final answer
    x = 3,747.07

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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.