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Finding the Fourth Proportional to 16,006.10, 24,009.15 and 9,785.30

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Solution

The fourth proportional to 16,006.10, 24,009.15 and 9,785.30 is: 14,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.10 : 24,009.15 = 9,785.30 : x
  2. Step 2: Convert to fraction form
    16,006.10/24,009.15 = 9,785.30/x
  3. Step 3: Cross multiply
    16,006.10x = 24,009.15 × 9,785.30
  4. Step 4: Simplify right side
    16,006.10x = 234,936,735.50
  5. Step 5: Solve for x
    x = 234,936,735.50/16,006.10
  6. Step 6: Final answer
    x = 14,677.95

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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.