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Finding the Fourth Proportional to 9,487.74, 14,232.03 and 2,914.20

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Solution

The fourth proportional to 9,487.74, 14,232.03 and 2,914.20 is: 4,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.74 : 14,232.03 = 2,914.20 : x
  2. Step 2: Convert to fraction form
    9,487.74/14,232.03 = 2,914.20/x
  3. Step 3: Cross multiply
    9,487.74x = 14,232.03 × 2,914.20
  4. Step 4: Simplify right side
    9,487.74x = 41,474,981.83
  5. Step 5: Solve for x
    x = 41,474,981.83/9,487.74
  6. Step 6: Final answer
    x = 4,371.43

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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.