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Finding the Fourth Proportional to 10,249, 15,373.50 and 2,953

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Solution

The fourth proportional to 10,249, 15,373.50 and 2,953 is: 4,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249 : 15,373.50 = 2,953 : x
  2. Step 2: Convert to fraction form
    10,249/15,373.50 = 2,953/x
  3. Step 3: Cross multiply
    10,249x = 15,373.50 × 2,953
  4. Step 4: Simplify right side
    10,249x = 45,397,945.50
  5. Step 5: Solve for x
    x = 45,397,945.50/10,249
  6. Step 6: Final answer
    x = 4,429.50

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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.