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Finding the Fourth Proportional to 16,575.75, 22,874.58 and 9,123.75

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Solution

The fourth proportional to 16,575.75, 22,874.58 and 9,123.75 is: 12,590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,575.75 : 22,874.58 = 9,123.75 : x
  2. Step 2: Convert to fraction form
    16,575.75/22,874.58 = 9,123.75/x
  3. Step 3: Cross multiply
    16,575.75x = 22,874.58 × 9,123.75
  4. Step 4: Simplify right side
    16,575.75x = 208,701,949.28
  5. Step 5: Solve for x
    x = 208,701,949.28/16,575.75
  6. Step 6: Final answer
    x = 12,590.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.