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Finding the Fourth Proportional to 14,137.96, 19,492.02 and 9,093.16

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Solution

The fourth proportional to 14,137.96, 19,492.02 and 9,093.16 is: 12,536.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.96 : 19,492.02 = 9,093.16 : x
  2. Step 2: Convert to fraction form
    14,137.96/19,492.02 = 9,093.16/x
  3. Step 3: Cross multiply
    14,137.96x = 19,492.02 × 9,093.16
  4. Step 4: Simplify right side
    14,137.96x = 177,244,056.58
  5. Step 5: Solve for x
    x = 177,244,056.58/14,137.96
  6. Step 6: Final answer
    x = 12,536.75

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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.