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Finding the Fourth Proportional to 10,494.84, 15,739.74 and 3,097.30

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Solution

The fourth proportional to 10,494.84, 15,739.74 and 3,097.30 is: 4,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.84 : 15,739.74 = 3,097.30 : x
  2. Step 2: Convert to fraction form
    10,494.84/15,739.74 = 3,097.30/x
  3. Step 3: Cross multiply
    10,494.84x = 15,739.74 × 3,097.30
  4. Step 4: Simplify right side
    10,494.84x = 48,750,696.70
  5. Step 5: Solve for x
    x = 48,750,696.70/10,494.84
  6. Step 6: Final answer
    x = 4,645.21

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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.