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Finding the Fourth Proportional to 7,249, 10,874.28 and 2,317.48

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Solution

The fourth proportional to 7,249, 10,874.28 and 2,317.48 is: 3,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249 : 10,874.28 = 2,317.48 : x
  2. Step 2: Convert to fraction form
    7,249/10,874.28 = 2,317.48/x
  3. Step 3: Cross multiply
    7,249x = 10,874.28 × 2,317.48
  4. Step 4: Simplify right side
    7,249x = 25,200,926.41
  5. Step 5: Solve for x
    x = 25,200,926.41/7,249
  6. Step 6: Final answer
    x = 3,476.47

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1.5x scale

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.