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Finding the Fourth Proportional to 14,053.92, 21,082.09 and 5,734.50

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Solution

The fourth proportional to 14,053.92, 21,082.09 and 5,734.50 is: 8,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053.92 : 21,082.09 = 5,734.50 : x
  2. Step 2: Convert to fraction form
    14,053.92/21,082.09 = 5,734.50/x
  3. Step 3: Cross multiply
    14,053.92x = 21,082.09 × 5,734.50
  4. Step 4: Simplify right side
    14,053.92x = 120,895,245.11
  5. Step 5: Solve for x
    x = 120,895,245.11/14,053.92
  6. Step 6: Final answer
    x = 8,602.24

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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.