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Finding the Fourth Proportional to 16,405.64, 24,609.88 and 7,046.08

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Solution

The fourth proportional to 16,405.64, 24,609.88 and 7,046.08 is: 10,569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.64 : 24,609.88 = 7,046.08 : x
  2. Step 2: Convert to fraction form
    16,405.64/24,609.88 = 7,046.08/x
  3. Step 3: Cross multiply
    16,405.64x = 24,609.88 × 7,046.08
  4. Step 4: Simplify right side
    16,405.64x = 173,403,183.27
  5. Step 5: Solve for x
    x = 173,403,183.27/16,405.64
  6. Step 6: Final answer
    x = 10,569.73

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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.