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Finding the Fourth Proportional to 14,334.72, 21,508.24 and 7,414.08

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Solution

The fourth proportional to 14,334.72, 21,508.24 and 7,414.08 is: 11,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,334.72 : 21,508.24 = 7,414.08 : x
  2. Step 2: Convert to fraction form
    14,334.72/21,508.24 = 7,414.08/x
  3. Step 3: Cross multiply
    14,334.72x = 21,508.24 × 7,414.08
  4. Step 4: Simplify right side
    14,334.72x = 159,463,812.02
  5. Step 5: Solve for x
    x = 159,463,812.02/14,334.72
  6. Step 6: Final answer
    x = 11,124.31

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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.