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Finding the Fourth Proportional to 9,478.62, 14,216.31 and 2,551.50

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Solution

The fourth proportional to 9,478.62, 14,216.31 and 2,551.50 is: 3,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.62 : 14,216.31 = 2,551.50 : x
  2. Step 2: Convert to fraction form
    9,478.62/14,216.31 = 2,551.50/x
  3. Step 3: Cross multiply
    9,478.62x = 14,216.31 × 2,551.50
  4. Step 4: Simplify right side
    9,478.62x = 36,272,914.97
  5. Step 5: Solve for x
    x = 36,272,914.97/9,478.62
  6. Step 6: Final answer
    x = 3,826.81

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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.