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Finding the Fourth Proportional to 9,894.08, 14,841.10 and 2,498.50

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Solution

The fourth proportional to 9,894.08, 14,841.10 and 2,498.50 is: 3,747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.08 : 14,841.10 = 2,498.50 : x
  2. Step 2: Convert to fraction form
    9,894.08/14,841.10 = 2,498.50/x
  3. Step 3: Cross multiply
    9,894.08x = 14,841.10 × 2,498.50
  4. Step 4: Simplify right side
    9,894.08x = 37,080,488.35
  5. Step 5: Solve for x
    x = 37,080,488.35/9,894.08
  6. Step 6: Final answer
    x = 3,747.74

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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.