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Finding the Fourth Proportional to 16,205.78, 24,298.94 and 6,333.29

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Solution

The fourth proportional to 16,205.78, 24,298.94 and 6,333.29 is: 9,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.78 : 24,298.94 = 6,333.29 : x
  2. Step 2: Convert to fraction form
    16,205.78/24,298.94 = 6,333.29/x
  3. Step 3: Cross multiply
    16,205.78x = 24,298.94 × 6,333.29
  4. Step 4: Simplify right side
    16,205.78x = 153,892,233.71
  5. Step 5: Solve for x
    x = 153,892,233.71/16,205.78
  6. Step 6: Final answer
    x = 9,496.13

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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.