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Finding the Fourth Proportional to 14,512.76, 19,996.74 and 9,788.84

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Solution

The fourth proportional to 14,512.76, 19,996.74 and 9,788.84 is: 13,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512.76 : 19,996.74 = 9,788.84 : x
  2. Step 2: Convert to fraction form
    14,512.76/19,996.74 = 9,788.84/x
  3. Step 3: Cross multiply
    14,512.76x = 19,996.74 × 9,788.84
  4. Step 4: Simplify right side
    14,512.76x = 195,744,888.38
  5. Step 5: Solve for x
    x = 195,744,888.38/14,512.76
  6. Step 6: Final answer
    x = 13,487.78

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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.