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Finding the Fourth Proportional to 14,922.62, 20,592.68 and 8,207.82

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Solution

The fourth proportional to 14,922.62, 20,592.68 and 8,207.82 is: 11,326.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.62 : 20,592.68 = 8,207.82 : x
  2. Step 2: Convert to fraction form
    14,922.62/20,592.68 = 8,207.82/x
  3. Step 3: Cross multiply
    14,922.62x = 20,592.68 × 8,207.82
  4. Step 4: Simplify right side
    14,922.62x = 169,020,969.72
  5. Step 5: Solve for x
    x = 169,020,969.72/14,922.62
  6. Step 6: Final answer
    x = 11,326.50

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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.