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Finding the Fourth Proportional to 13,492.98, 20,239.47 and 6,096.06

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Solution

The fourth proportional to 13,492.98, 20,239.47 and 6,096.06 is: 9,144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.98 : 20,239.47 = 6,096.06 : x
  2. Step 2: Convert to fraction form
    13,492.98/20,239.47 = 6,096.06/x
  3. Step 3: Cross multiply
    13,492.98x = 20,239.47 × 6,096.06
  4. Step 4: Simplify right side
    13,492.98x = 123,381,023.49
  5. Step 5: Solve for x
    x = 123,381,023.49/13,492.98
  6. Step 6: Final answer
    x = 9,144.09

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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.