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Finding the Fourth Proportional to 10,173.68, 15,260.34 and 3,248

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Solution

The fourth proportional to 10,173.68, 15,260.34 and 3,248 is: 4,871.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.68 : 15,260.34 = 3,248 : x
  2. Step 2: Convert to fraction form
    10,173.68/15,260.34 = 3,248/x
  3. Step 3: Cross multiply
    10,173.68x = 15,260.34 × 3,248
  4. Step 4: Simplify right side
    10,173.68x = 49,565,584.32
  5. Step 5: Solve for x
    x = 49,565,584.32/10,173.68
  6. Step 6: Final answer
    x = 4,871.94

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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.