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Finding the Fourth Proportional to 16,513.68, 24,770.52 and 7,146.03

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Solution

The fourth proportional to 16,513.68, 24,770.52 and 7,146.03 is: 10,719.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,513.68 : 24,770.52 = 7,146.03 : x
  2. Step 2: Convert to fraction form
    16,513.68/24,770.52 = 7,146.03/x
  3. Step 3: Cross multiply
    16,513.68x = 24,770.52 × 7,146.03
  4. Step 4: Simplify right side
    16,513.68x = 177,010,879.04
  5. Step 5: Solve for x
    x = 177,010,879.04/16,513.68
  6. Step 6: Final answer
    x = 10,719.05

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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.