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Finding the Fourth Proportional to 14,609.92, 21,907.86 and 7,582.84

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Solution

The fourth proportional to 14,609.92, 21,907.86 and 7,582.84 is: 11,370.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.92 : 21,907.86 = 7,582.84 : x
  2. Step 2: Convert to fraction form
    14,609.92/21,907.86 = 7,582.84/x
  3. Step 3: Cross multiply
    14,609.92x = 21,907.86 × 7,582.84
  4. Step 4: Simplify right side
    14,609.92x = 166,123,797.12
  5. Step 5: Solve for x
    x = 166,123,797.12/14,609.92
  6. Step 6: Final answer
    x = 11,370.62

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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.