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Finding the Fourth Proportional to 14,081, 19,414.10 and 9,036.32

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Solution

The fourth proportional to 14,081, 19,414.10 and 9,036.32 is: 12,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,081 : 19,414.10 = 9,036.32 : x
  2. Step 2: Convert to fraction form
    14,081/19,414.10 = 9,036.32/x
  3. Step 3: Cross multiply
    14,081x = 19,414.10 × 9,036.32
  4. Step 4: Simplify right side
    14,081x = 175,432,020.11
  5. Step 5: Solve for x
    x = 175,432,020.11/14,081
  6. Step 6: Final answer
    x = 12,458.78

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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.