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Finding the Fourth Proportional to 16,578.68, 24,873.48 and 9,566.91

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Solution

The fourth proportional to 16,578.68, 24,873.48 and 9,566.91 is: 14,353.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.68 : 24,873.48 = 9,566.91 : x
  2. Step 2: Convert to fraction form
    16,578.68/24,873.48 = 9,566.91/x
  3. Step 3: Cross multiply
    16,578.68x = 24,873.48 × 9,566.91
  4. Step 4: Simplify right side
    16,578.68x = 237,962,344.55
  5. Step 5: Solve for x
    x = 237,962,344.55/16,578.68
  6. Step 6: Final answer
    x = 14,353.52

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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.