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Finding the Fourth Proportional to 10,173, 15,257.70 and 4,625.04

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Solution

The fourth proportional to 10,173, 15,257.70 and 4,625.04 is: 6,936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173 : 15,257.70 = 4,625.04 : x
  2. Step 2: Convert to fraction form
    10,173/15,257.70 = 4,625.04/x
  3. Step 3: Cross multiply
    10,173x = 15,257.70 × 4,625.04
  4. Step 4: Simplify right side
    10,173x = 70,567,472.81
  5. Step 5: Solve for x
    x = 70,567,472.81/10,173
  6. Step 6: Final answer
    x = 6,936.74

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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.