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Finding the Fourth Proportional to 9,298.50, 13,948.56 and 2,373

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Solution

The fourth proportional to 9,298.50, 13,948.56 and 2,373 is: 3,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.50 : 13,948.56 = 2,373 : x
  2. Step 2: Convert to fraction form
    9,298.50/13,948.56 = 2,373/x
  3. Step 3: Cross multiply
    9,298.50x = 13,948.56 × 2,373
  4. Step 4: Simplify right side
    9,298.50x = 33,099,932.88
  5. Step 5: Solve for x
    x = 33,099,932.88/9,298.50
  6. Step 6: Final answer
    x = 3,559.71

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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.