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Finding the Fourth Proportional to 16,547.58, 24,825 and 5,453.82

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Solution

The fourth proportional to 16,547.58, 24,825 and 5,453.82 is: 8,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.58 : 24,825 = 5,453.82 : x
  2. Step 2: Convert to fraction form
    16,547.58/24,825 = 5,453.82/x
  3. Step 3: Cross multiply
    16,547.58x = 24,825 × 5,453.82
  4. Step 4: Simplify right side
    16,547.58x = 135,391,081.50
  5. Step 5: Solve for x
    x = 135,391,081.50/16,547.58
  6. Step 6: Final answer
    x = 8,181.93

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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.