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Finding the Fourth Proportional to 7,498, 11,247 and 2,303.88

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Solution

The fourth proportional to 7,498, 11,247 and 2,303.88 is: 3,455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498 : 11,247 = 2,303.88 : x
  2. Step 2: Convert to fraction form
    7,498/11,247 = 2,303.88/x
  3. Step 3: Cross multiply
    7,498x = 11,247 × 2,303.88
  4. Step 4: Simplify right side
    7,498x = 25,911,738.36
  5. Step 5: Solve for x
    x = 25,911,738.36/7,498
  6. Step 6: Final answer
    x = 3,455.82

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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.