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Finding the Fourth Proportional to 9,996.96, 14,965.68 and 7,401.76

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Solution

The fourth proportional to 9,996.96, 14,965.68 and 7,401.76 is: 11,080.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.96 : 14,965.68 = 7,401.76 : x
  2. Step 2: Convert to fraction form
    9,996.96/14,965.68 = 7,401.76/x
  3. Step 3: Cross multiply
    9,996.96x = 14,965.68 × 7,401.76
  4. Step 4: Simplify right side
    9,996.96x = 110,772,371.60
  5. Step 5: Solve for x
    x = 110,772,371.60/9,996.96
  6. Step 6: Final answer
    x = 11,080.61

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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.