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Finding the Fourth Proportional to 9,214.74, 13,824.07 and 2,975.11

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Solution

The fourth proportional to 9,214.74, 13,824.07 and 2,975.11 is: 4,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.74 : 13,824.07 = 2,975.11 : x
  2. Step 2: Convert to fraction form
    9,214.74/13,824.07 = 2,975.11/x
  3. Step 3: Cross multiply
    9,214.74x = 13,824.07 × 2,975.11
  4. Step 4: Simplify right side
    9,214.74x = 41,128,086.90
  5. Step 5: Solve for x
    x = 41,128,086.90/9,214.74
  6. Step 6: Final answer
    x = 4,463.29

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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.