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Finding the Fourth Proportional to 14,414.94, 19,893.53 and 8,127.72

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Solution

The fourth proportional to 14,414.94, 19,893.53 and 8,127.72 is: 11,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.94 : 19,893.53 = 8,127.72 : x
  2. Step 2: Convert to fraction form
    14,414.94/19,893.53 = 8,127.72/x
  3. Step 3: Cross multiply
    14,414.94x = 19,893.53 × 8,127.72
  4. Step 4: Simplify right side
    14,414.94x = 161,689,041.65
  5. Step 5: Solve for x
    x = 161,689,041.65/14,414.94
  6. Step 6: Final answer
    x = 11,216.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.