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Finding the Fourth Proportional to 16,306.80, 24,460.38 and 5,213.40

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Solution

The fourth proportional to 16,306.80, 24,460.38 and 5,213.40 is: 7,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.80 : 24,460.38 = 5,213.40 : x
  2. Step 2: Convert to fraction form
    16,306.80/24,460.38 = 5,213.40/x
  3. Step 3: Cross multiply
    16,306.80x = 24,460.38 × 5,213.40
  4. Step 4: Simplify right side
    16,306.80x = 127,521,745.09
  5. Step 5: Solve for x
    x = 127,521,745.09/16,306.80
  6. Step 6: Final answer
    x = 7,820.16

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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.