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Finding the Fourth Proportional to 16,000.74, 24,004.89 and 7,235.64

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Solution

The fourth proportional to 16,000.74, 24,004.89 and 7,235.64 is: 10,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.74 : 24,004.89 = 7,235.64 : x
  2. Step 2: Convert to fraction form
    16,000.74/24,004.89 = 7,235.64/x
  3. Step 3: Cross multiply
    16,000.74x = 24,004.89 × 7,235.64
  4. Step 4: Simplify right side
    16,000.74x = 173,690,742.28
  5. Step 5: Solve for x
    x = 173,690,742.28/16,000.74
  6. Step 6: Final answer
    x = 10,855.17

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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.