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Finding the Fourth Proportional to 9,478, 14,217 and 2,552.50

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Solution

The fourth proportional to 9,478, 14,217 and 2,552.50 is: 3,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478 : 14,217 = 2,552.50 : x
  2. Step 2: Convert to fraction form
    9,478/14,217 = 2,552.50/x
  3. Step 3: Cross multiply
    9,478x = 14,217 × 2,552.50
  4. Step 4: Simplify right side
    9,478x = 36,288,892.50
  5. Step 5: Solve for x
    x = 36,288,892.50/9,478
  6. Step 6: Final answer
    x = 3,828.75

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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.