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Finding the Fourth Proportional to 9,996.68, 13,793.28 and 5,802.68

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Solution

The fourth proportional to 9,996.68, 13,793.28 and 5,802.68 is: 8,006.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.68 : 13,793.28 = 5,802.68 : x
  2. Step 2: Convert to fraction form
    9,996.68/13,793.28 = 5,802.68/x
  3. Step 3: Cross multiply
    9,996.68x = 13,793.28 × 5,802.68
  4. Step 4: Simplify right side
    9,996.68x = 80,037,989.99
  5. Step 5: Solve for x
    x = 80,037,989.99/9,996.68
  6. Step 6: Final answer
    x = 8,006.46

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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.