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Finding the Fourth Proportional to 12,498, 18,751.88 and 4,707.44

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Solution

The fourth proportional to 12,498, 18,751.88 and 4,707.44 is: 7,063.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,498 : 18,751.88 = 4,707.44 : x
  2. Step 2: Convert to fraction form
    12,498/18,751.88 = 4,707.44/x
  3. Step 3: Cross multiply
    12,498x = 18,751.88 × 4,707.44
  4. Step 4: Simplify right side
    12,498x = 88,273,349.99
  5. Step 5: Solve for x
    x = 88,273,349.99/12,498
  6. Step 6: Final answer
    x = 7,063.00

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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.