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Finding the Fourth Proportional to 14,798.50, 20,421.82 and 8,084.14

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Solution

The fourth proportional to 14,798.50, 20,421.82 and 8,084.14 is: 11,156.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,798.50 : 20,421.82 = 8,084.14 : x
  2. Step 2: Convert to fraction form
    14,798.50/20,421.82 = 8,084.14/x
  3. Step 3: Cross multiply
    14,798.50x = 20,421.82 × 8,084.14
  4. Step 4: Simplify right side
    14,798.50x = 165,092,851.93
  5. Step 5: Solve for x
    x = 165,092,851.93/14,798.50
  6. Step 6: Final answer
    x = 11,156.05

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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.