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Finding the Fourth Proportional to 16,369, 24,555.12 and 6,506.08

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Solution

The fourth proportional to 16,369, 24,555.12 and 6,506.08 is: 9,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,369 : 24,555.12 = 6,506.08 : x
  2. Step 2: Convert to fraction form
    16,369/24,555.12 = 6,506.08/x
  3. Step 3: Cross multiply
    16,369x = 24,555.12 × 6,506.08
  4. Step 4: Simplify right side
    16,369x = 159,757,575.13
  5. Step 5: Solve for x
    x = 159,757,575.13/16,369
  6. Step 6: Final answer
    x = 9,759.76

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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.